Math Gr 8 Ch 3 SUM: Common Fractions

What is the key concept behind equivalent fractions?

The same fraction that represents different values
The same fraction that represents the same value
Different fractions that represent different values
Different fractions that represent the same value (correct)

What is the formula for adding fractions with different denominators?

$ \frac{a}{b} + \frac{c}{d} = \frac{a \times c}{b \times d} $
$ \frac{a}{b} + \frac{c}{d} = \frac{a - c}{b - d} $
$ \frac{a}{b} + \frac{c}{d} = \frac{a \times d + b \times c}{b \times d} $ (correct)
$ \frac{a}{b} + \frac{c}{d} = \frac{a + c}{b + d} $

What is the formula for multiplying fractions?

$ \frac{a}{b} \times \frac{c}{d} = \frac{a + c}{b + d} $
$ \frac{a}{b} \times \frac{c}{d} = \frac{a - c}{b - d} $
$ \frac{a}{b} \times \frac{c}{d} = \frac{a \times d}{b \times c} $
$ \frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d} $ (correct)

How do you find the reciprocal of a fraction?

By swapping the numerator and denominator (C) Signup and view all the answers

What is the formula for dividing fractions?

( \frac{a}{b} \div \frac{c}{d} = \frac{a \times d}{b \times c} ) (A) Signup and view all the answers

What is the process to find a fraction of a fraction?

Multiply the fractions together (D) Signup and view all the answers

What is the purpose of finding the least common multiple when adding or subtracting fractions?

To find the common denominator (A) Signup and view all the answers

What happens to the value of a fraction when you multiply or divide both the numerator and denominator by the same non-zero number?

The value of the fraction remains unchanged (B) Signup and view all the answers

What is the percentage of the fraction 3/4?

75% (D) Signup and view all the answers

What is the value of 25% of 120?

25 (C) Signup and view all the answers

A shirt is originally priced at $50. After a 20% discount, how much will you pay for the shirt?

$45 (D) Signup and view all the answers

What is the percentage change from 20 to 24?

15% (C) Signup and view all the answers

What is the result of adding 2.5 and 1.8?

4.3 (B) Signup and view all the answers

What is the result of multiplying 2.5 by 3.2?

7.8 (C) Signup and view all the answers

What is the result of dividing 4.8 by 0.6?

8 (C) Signup and view all the answers

What is the correct step to divide a total amount by a certain number of people?

Convert the total amount to a decimal if necessary and divide (D) Signup and view all the answers

What is the fraction equivalent to 30%?

3/10 (B) Signup and view all the answers

What is the correct method to determine the duration of saving?

Divide the total amount saved by the weekly savings amount (D) Signup and view all the answers

What is the result of increasing 50 by 25%?

62.5 (C) Signup and view all the answers

How do you calculate the weight of an object when given the volume and weight per unit volume?

Multiply the volume by the weight per unit volume (B) Signup and view all the answers

When adding or subtracting decimal numbers, what is the correct step?

Align the decimal points, then add or subtract corresponding digits (B) Signup and view all the answers

What is the comparison of 12 out of 20 as a percentage?

55% (B) Signup and view all the answers

What is the correct step to multiply decimal numbers?

Convert the decimals to whole numbers by multiplying by powers of 10, then multiply (A) Signup and view all the answers

What is the correct step to divide a decimal number by another decimal number?

Convert the divisor to a whole number by multiplying both numbers by a power of 10, then divide (B) Signup and view all the answers

What is the formula to multiply two fractions?

$\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$ (B) Signup and view all the answers

How do you simplify a fraction?

By dividing both the numerator and denominator by their greatest common divisor (GCD) (B) Signup and view all the answers

What is the result of converting a fraction to a decimal?

A decimal value (A) Signup and view all the answers

What is the formula to convert a fraction to a percentage?

$\left(\frac{a}{b}\right) \times 100$ (A) Signup and view all the answers

What is the term for a fraction where the whole is divided into 100 parts?

Hundredths (B) Signup and view all the answers

What is the formula to add two fractions with different denominators?

$\frac{a}{b} + \frac{c}{d} = \frac{a \times d + b \times c}{b \times d}$ (B) Signup and view all the answers

What is the formula to divide a fraction by another fraction?

$\frac{a}{b} \div \frac{c}{d} = \frac{a \times d}{b \times c}$ (C) Signup and view all the answers

What is the term for a fraction that represents the same value as another fraction?

Equivalent fraction (B) Signup and view all the answers

What is the formula to find a fraction of a fraction?

$\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$ (D) Signup and view all the answers

What is the common notation for a fraction?

$\frac{a}{b}$ (B) Signup and view all the answers

What is the purpose of finding the least common multiple when adding or subtracting fractions with different denominators?

To find a common denominator (C) Signup and view all the answers

Which of the following operations with fractions involves multiplying by the reciprocal?

Division (D) Signup and view all the answers

What happens to the value of a fraction when you multiply both the numerator and denominator by the same non-zero number?

It remains the same (B) Signup and view all the answers

What is the result of multiplying the fraction 1/2 by the fraction 3/4?

3/8 (B) Signup and view all the answers

What is the result of adding the fraction 1/4 to the fraction 1/6?

5/12 (D) Signup and view all the answers

What is the result of dividing the fraction 2/3 by the fraction 3/4?

8/9 (A) Signup and view all the answers

What is the result of finding one-third of the fraction 3/4?

1/4 (C) Signup and view all the answers

Which of the following is an equivalent fraction to 2/4?

All of the above (D) Signup and view all the answers

What is the correct method to divide a total amount by a certain number of people?

Convert the total amount to a decimal if necessary and divide (A) Signup and view all the answers

To determine the duration of saving, what should you divide the total amount saved by?

The weekly savings amount (A) Signup and view all the answers

When multiplying decimals, what should you do first?

Convert decimals to whole numbers by multiplying by powers of 10 (A) Signup and view all the answers

What is the correct step to divide a decimal number by another decimal number?

Convert the divisor to a whole number by multiplying both numbers by a power of 10 (D) Signup and view all the answers

What is the correct method to calculate the weight of an object when given the volume and weight per unit volume?

Multiply the volume by the weight per unit volume (A) Signup and view all the answers

When adding or subtracting decimal numbers, what should you do first?

Align the decimal points (C) Signup and view all the answers

What is the percentage of the fraction 1/2?

50% (B) Signup and view all the answers

If a number increases by 15%, what is the new value if the original number is 200?

230 (B) Signup and view all the answers

What is the formula to convert a percentage to a fraction?

Percentage/100 (D) Signup and view all the answers

If a shirt is originally priced at $80 and it has a 20% discount, what is the new price?

64 (D) Signup and view all the answers

What is the percentage change from 15 to 18?

20% (B) Signup and view all the answers

What is the result of adding 1.2 and 2.5?

3.9 (D) Signup and view all the answers

What is the result of multiplying 2.4 by 3.5?

8.4 (D) Signup and view all the answers

What is the result of dividing 6.3 by 1.2?

5.5 (C) Signup and view all the answers

What is the comparison of 8 out of 12 as a percentage?

66.7% (B) Signup and view all the answers

If a number decreases by 25%, what is the new value if the original number is 120?

90 (A) Signup and view all the answers

What is the result of multiplying the fraction $\frac{2}{3}$ by $\frac{3}{4}$?

$\frac{1}{6}$ (D) Signup and view all the answers

What is the simplified form of the fraction $\frac{12}{18}$?

$\frac{2}{3}$ (B) Signup and view all the answers

What is the decimal equivalent of the fraction $\frac{3}{4}$?

0.75 (D) Signup and view all the answers

What is the percentage equivalent of the fraction $\frac{2}{5}$?

40% (B) Signup and view all the answers

What is the result of dividing the fraction $\frac{2}{3}$ by $\frac{3}{4}$?

$\frac{8}{9}$ (B) Signup and view all the answers

What is the result of adding the fractions $\frac{1}{2}$ and $\frac{1}{3}$?

$\frac{5}{6}$ (C) Signup and view all the answers

What is the term for a fraction where the whole is divided into 10 parts?

Tenths (A) Signup and view all the answers

What is the result of finding a fraction of a fraction, $\frac{1}{2}$ of $\frac{3}{4}$?

$\frac{3}{8}$ (C) Signup and view all the answers

What is the result of converting the mixed number $2\frac{3}{5}$ to an improper fraction?

$\frac{13}{5}$ (D) Signup and view all the answers

What is the term for a fraction that represents the same value as another fraction?

Equivalent fraction (C) Signup and view all the answers

What is the correct way to find the equivalent fraction of 3/4 when multiplied by 2?

Multiply the numerator by 2 and the denominator by 2 (C) Signup and view all the answers

What is the result of subtracting 1/6 from 1/4?

-1/12 (A) Signup and view all the answers

What is the correct way to multiply 2/3 by 3/4?

Multiply the numerators and multiply the denominators (B) Signup and view all the answers

What is the result of dividing 2/3 by 3/4?

8/9 (C) Signup and view all the answers

What is the correct way to find one-third of 3/4?

Multiply 3/4 by 1/3 (C) Signup and view all the answers

What is the equivalent fraction of 2/4 when multiplied by 3?

6/12 (B) Signup and view all the answers

What is the result of adding 1/4 and 1/6?

5/12 (C) Signup and view all the answers

What is the correct way to find the equivalent fraction of 3/4 when divided by 2?

Divide the numerator by 2 and the denominator by 2 (A) Signup and view all the answers

What is the correct step to divide a decimal number by another decimal number?

Convert the divisor to a whole number by multiplying both numbers by a power of 10, then divide. (C) Signup and view all the answers

A total amount of $120 needs to be divided equally among 8 people. What is the correct step to find the amount each person receives?

Divide $120 by 8 without any conversion. (D) Signup and view all the answers

To calculate the weight of an object, what should you do first?

Multiply the volume by the weight per unit volume. (B) Signup and view all the answers

What is the correct step to multiply decimal numbers?

Convert decimals to whole numbers, multiply, and then adjust the decimal place. (C) Signup and view all the answers

To determine the duration of saving, what should you do?

Divide the total amount saved by the weekly savings amount. (D) Signup and view all the answers

What is the correct step to add or subtract decimal numbers?

Align decimal points and then add or subtract. (C) Signup and view all the answers

What is the percentage of 3/5 if the whole is 100?

60% (A) Signup and view all the answers

A bakery sells 240 loaves of bread per day. If the sales increase by 12%, how many loaves of bread will the bakery sell per day?

268 loaves (B) Signup and view all the answers

A book is on sale for 18% off its original price of $80. What is the sale price of the book?

$66.40 (A) Signup and view all the answers

What is the percentage change from 150 to 180?

20% (A) Signup and view all the answers

A shirt is originally priced at $70. If the price is increased by 20%, what is the new price of the shirt?

$84 (D) Signup and view all the answers

What is the result of decreasing 120 by 15%?

102 (A) Signup and view all the answers

What is the comparison of 15 out of 25 as a percentage?

60% (B) Signup and view all the answers

What is the result of multiplying 2.5 by 3.7?

9.25 (C) Signup and view all the answers

What is the result of dividing 6.4 by 0.8?

8.0 (B) Signup and view all the answers

What is the result of multiplying the fraction 2/5 by the fraction 3/7?

12/35 (B) Signup and view all the answers

What is the result of adding 4.2 and 1.9?

6.1 (C) Signup and view all the answers

What is the simplified form of the fraction 12/16?

3/4 (D) Signup and view all the answers

What is the result of converting the fraction 3/4 to a percentage?

75% (A) Signup and view all the answers

What is the result of dividing the fraction 2/3 by the fraction 3/5?

10/9 (A) Signup and view all the answers

What is the equivalent fraction to 3/6?

1/2 (D) Signup and view all the answers

What is the result of adding the fraction 1/2 to the fraction 1/4?

3/4 (C) Signup and view all the answers

What is the result of finding one-fifth of the fraction 3/4?

3/20 (A) Signup and view all the answers

What is the result of converting the decimal 0.75 to a fraction?

3/5 (A) Signup and view all the answers

What is the result of multiplying the decimal 2.5 by the decimal 3.2?

7.2 (B) Signup and view all the answers

What is the result of dividing the decimal 4.8 by the decimal 0.6?

7.5 (B) Signup and view all the answers

What is the correct step to divide a total amount of 48.6 dollars equally among 6 people?

Convert 48.6 to a decimal, then divide by 6 (B) Signup and view all the answers

A person saves 25.8 dollars per week. If they want to save 300 dollars, how long will it take?

Divide 300 by 25.8, then round up to the nearest whole number (C) Signup and view all the answers

A store sells 3.5 kilograms of apples at 2.5 dollars per kilogram. What is the total cost of the apples?

Multiply 3.5 by 2.5, then add 5 (C) Signup and view all the answers

What is the result of adding 4.2 and 1.9?

6.08 (D) Signup and view all the answers

What is the result of multiplying 2.5 by 3.1?

7.85 (C) Signup and view all the answers

What is the result of dividing 4.9 by 0.7?

6.7 (B) Signup and view all the answers

A water tank can hold 2.4 liters of water. If 1.8 liters of water are already in the tank, how much more water can be added?

0.6 liters (A) Signup and view all the answers

A person has 3.5 kilograms of flour and wants to make 0.5 kilogram bags. How many bags can they make?

6 bags (A) Signup and view all the answers

What is the result of multiplying 2.8 by 0.4?

1.12 (C) Signup and view all the answers

A person wants to save 240 dollars. If they save 20 dollars per week, how long will it take?

12 weeks (D) Signup and view all the answers

A bakery has 15.6 kilograms of flour to be divided equally among 4 people. What is the amount of flour each person will receive?

3.9 kg (B) Signup and view all the answers

A person wants to save $2400 in 6 months. How much should they save per month?

$400 (D) Signup and view all the answers

A container has a volume of 5.2 liters. If the weight per unit volume is 0.8 kg/L, what is the total weight of the contents?

4.16 kg (A) Signup and view all the answers

What is the result of multiplying 3.2 by 2.5?

8.0 (D) Signup and view all the answers

What is the result of dividing 12.8 by 1.6?

8.0 (B) Signup and view all the answers

What is the result of adding 4.2 and 2.9?

7.1 (D) Signup and view all the answers

What is the result of multiplying the fraction 2/5 by the fraction 3/10?

3/25 (B) Signup and view all the answers

What is the result of adding the fraction 1/3 to the fraction 2/5?

9/15 (A) Signup and view all the answers

What is the result of dividing the fraction 3/4 by the fraction 2/5?

15/8 (B) Signup and view all the answers

What is the result of finding one-quarter of the fraction 3/5?

3/20 (D) Signup and view all the answers

What is the equivalent fraction to 3/6 when the numerator and denominator are both multiplied by 2?

6/12 (C) Signup and view all the answers

What is the result of subtracting the fraction 1/4 from the fraction 2/3?

1/12 (B) Signup and view all the answers

What is the result of multiplying the fraction 2/3 by the fraction 3/4?

6/9 (A) Signup and view all the answers

What is the result of adding the fraction 1/2 to the fraction 1/3?

5/6 (A) Signup and view all the answers

What is the result of converting the percentage 37.5% to a fraction?

3/8 (B) Signup and view all the answers

What is the result of increasing 80 by 12.5%?

89.5 (B) Signup and view all the answers

What is the percentage change from 18 to 22.5?

28.13% (C) Signup and view all the answers

What is the result of multiplying 2.5 by 1.25?

3.125 (C) Signup and view all the answers

What is the result of multiplying the fraction 2/3 by the fraction 3/4?

9/12 (C) Signup and view all the answers

What is the result of dividing 4.8 by 0.2?

24 (B) Signup and view all the answers

What is the fraction equivalent to 27.5%?

11/40 (C) Signup and view all the answers

Simplify the fraction 12/18 by dividing both the numerator and denominator by their greatest common divisor (GCD).

2/3 (C) Signup and view all the answers

What is the result of decreasing 60 by 20%?

48 (B) Signup and view all the answers

What is the percentage equivalent to the fraction 3/5?

60% (D) Signup and view all the answers

What is the comparison of 9 out of 15 as a percentage?

60.71% (B) Signup and view all the answers

A book is priced at $40. If a 20% discount is applied, what is the new price of the book?

$36 (C) Signup and view all the answers

What is the result of dividing the fraction 3/4 by the fraction 2/3?

9/8 (B) Signup and view all the answers

What is the result of adding 2.75 and 1.25?

4.25 (B) Signup and view all the answers

What is the result of converting the fraction 3/5 to a percentage?

66.67% (C) Signup and view all the answers

What is the equivalent fraction to 3/6?

1/2 (C) Signup and view all the answers

What is the result of finding one-quarter of the fraction 3/4?

3/8 (B) Signup and view all the answers

What is the result of adding the fraction 1/2 to the fraction 1/4?

3/4 (D) Signup and view all the answers

What is the result of converting the fraction 2/5 to a decimal?

0.4 (D) Signup and view all the answers

What is the result of multiplying the fraction 3/4 by the fraction 2/3?

1/6 (D) Signup and view all the answers

What is the correct step to divide a total amount by a certain number of people?

Convert the total amount to a decimal and divide (D) Signup and view all the answers

To determine the duration of saving, what should you divide the total amount saved by?

The weekly savings amount (D) Signup and view all the answers

What is the correct step when multiplying decimals?

Convert decimals to whole numbers, multiply, and then adjust the decimal place (D) Signup and view all the answers

What is the correct step when dividing decimals?

Convert the divisor to a whole number, divide, and then adjust the quotient (A) Signup and view all the answers

What is the correct method to calculate the weight of an object when given the volume and weight per unit volume?

Multiply the volume by the weight per unit volume (C) Signup and view all the answers

When adding or subtracting decimal numbers, what should you do first?

Align the decimal points (D) Signup and view all the answers

What is the correct step to divide a decimal number by another decimal number?

Convert both decimals to whole numbers, divide, and then adjust the quotient (D) Signup and view all the answers

What is the correct method to determine the total savings?

Multiply the weekly savings amount by the number of weeks (A) Signup and view all the answers

What is the correct step when subtracting decimal numbers?

Convert decimals to whole numbers, subtract, and then adjust the decimal place (B) Signup and view all the answers

What is the correct method to calculate the cost of an object when given the weight and cost per unit weight?

Multiply the weight by the cost per unit weight (A) Signup and view all the answers

What is the correct step to divide a total amount of money by 4 people?

Convert the total amount to a decimal if necessary, then divide by 4. (D) Signup and view all the answers

What is the correct method to calculate the weight of an object when given the volume and weight per unit volume?

Multiply the volume by the weight per unit volume. (B) Signup and view all the answers

What is the correct step in multiplying decimal numbers?

Convert the decimals to whole numbers, multiply, and then adjust the decimal place. (B) Signup and view all the answers

What is the correct method to determine the duration of saving?

Divide the total amount saved by the weekly savings amount. (A) Signup and view all the answers

What is the correct step in dividing decimal numbers?

Convert the divisor to a whole number, then divide. (D) Signup and view all the answers

Math Gr 8 Ch 3 SUM: Common Fractions

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Questions and Answers

What is the key concept behind equivalent fractions?

What is the formula for adding fractions with different denominators?

What is the formula for multiplying fractions?

How do you find the reciprocal of a fraction?

What is the formula for dividing fractions?

What is the process to find a fraction of a fraction?

What is the purpose of finding the least common multiple when adding or subtracting fractions?

What happens to the value of a fraction when you multiply or divide both the numerator and denominator by the same non-zero number?

What is the percentage of the fraction 3/4?

What is the value of 25% of 120?

A shirt is originally priced at $50. After a 20% discount, how much will you pay for the shirt?

What is the percentage change from 20 to 24?

What is the result of adding 2.5 and 1.8?

What is the result of multiplying 2.5 by 3.2?

What is the result of dividing 4.8 by 0.6?

What is the correct step to divide a total amount by a certain number of people?

What is the fraction equivalent to 30%?

What is the correct method to determine the duration of saving?

What is the result of increasing 50 by 25%?

How do you calculate the weight of an object when given the volume and weight per unit volume?

When adding or subtracting decimal numbers, what is the correct step?

What is the comparison of 12 out of 20 as a percentage?

What is the correct step to multiply decimal numbers?

What is the correct step to divide a decimal number by another decimal number?

What is the formula to multiply two fractions?

How do you simplify a fraction?

What is the result of converting a fraction to a decimal?

What is the formula to convert a fraction to a percentage?

What is the term for a fraction where the whole is divided into 100 parts?

What is the formula to add two fractions with different denominators?

What is the formula to divide a fraction by another fraction?

What is the term for a fraction that represents the same value as another fraction?

What is the formula to find a fraction of a fraction?

What is the common notation for a fraction?

What is the purpose of finding the least common multiple when adding or subtracting fractions with different denominators?

Which of the following operations with fractions involves multiplying by the reciprocal?

What happens to the value of a fraction when you multiply both the numerator and denominator by the same non-zero number?

What is the result of multiplying the fraction 1/2 by the fraction 3/4?

What is the result of adding the fraction 1/4 to the fraction 1/6?

What is the result of dividing the fraction 2/3 by the fraction 3/4?

What is the result of finding one-third of the fraction 3/4?

Which of the following is an equivalent fraction to 2/4?

What is the correct method to divide a total amount by a certain number of people?

To determine the duration of saving, what should you divide the total amount saved by?

When multiplying decimals, what should you do first?

What is the correct step to divide a decimal number by another decimal number?

What is the correct method to calculate the weight of an object when given the volume and weight per unit volume?

When adding or subtracting decimal numbers, what should you do first?

What is the percentage of the fraction 1/2?

If a number increases by 15%, what is the new value if the original number is 200?

What is the formula to convert a percentage to a fraction?

If a shirt is originally priced at $80 and it has a 20% discount, what is the new price?

What is the percentage change from 15 to 18?

What is the result of adding 1.2 and 2.5?

What is the result of multiplying 2.4 by 3.5?

What is the result of dividing 6.3 by 1.2?

What is the comparison of 8 out of 12 as a percentage?

If a number decreases by 25%, what is the new value if the original number is 120?

What is the result of multiplying the fraction $\frac{2}{3}$ by $\frac{3}{4}$?

What is the simplified form of the fraction $\frac{12}{18}$?

What is the decimal equivalent of the fraction $\frac{3}{4}$?

What is the percentage equivalent of the fraction $\frac{2}{5}$?

What is the result of dividing the fraction $\frac{2}{3}$ by $\frac{3}{4}$?

What is the result of adding the fractions $\frac{1}{2}$ and $\frac{1}{3}$?

What is the term for a fraction where the whole is divided into 10 parts?

What is the result of finding a fraction of a fraction, $\frac{1}{2}$ of $\frac{3}{4}$?

What is the result of converting the mixed number $2\frac{3}{5}$ to an improper fraction?

What is the term for a fraction that represents the same value as another fraction?

What is the correct way to find the equivalent fraction of 3/4 when multiplied by 2?

What is the result of subtracting 1/6 from 1/4?

What is the correct way to multiply 2/3 by 3/4?

What is the result of dividing 2/3 by 3/4?

What is the correct way to find one-third of 3/4?

What is the equivalent fraction of 2/4 when multiplied by 3?

What is the result of adding 1/4 and 1/6?

What is the correct way to find the equivalent fraction of 3/4 when divided by 2?