Math Gr 8 Ch 3 SUM: Common Fractions
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Questions and Answers

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?

    <p>By swapping the numerator and denominator</p> Signup and view all the answers

    What is the formula for dividing fractions?

    <p>( \frac{a}{b} \div \frac{c}{d} = \frac{a \times d}{b \times c} )</p> Signup and view all the answers

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

    <p>Multiply the fractions together</p> Signup and view all the answers

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

    <p>To find the common denominator</p> 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?

    <p>The value of the fraction remains unchanged</p> Signup and view all the answers

    What is the percentage of the fraction 3/4?

    <p>75%</p> Signup and view all the answers

    What is the value of 25% of 120?

    <p>25</p> 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?

    <p>$45</p> Signup and view all the answers

    What is the percentage change from 20 to 24?

    <p>15%</p> Signup and view all the answers

    What is the result of adding 2.5 and 1.8?

    <p>4.3</p> Signup and view all the answers

    What is the result of multiplying 2.5 by 3.2?

    <p>7.8</p> Signup and view all the answers

    What is the result of dividing 4.8 by 0.6?

    <p>8</p> Signup and view all the answers

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

    <p>Convert the total amount to a decimal if necessary and divide</p> Signup and view all the answers

    What is the fraction equivalent to 30%?

    <p>3/10</p> Signup and view all the answers

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

    <p>Divide the total amount saved by the weekly savings amount</p> Signup and view all the answers

    What is the result of increasing 50 by 25%?

    <p>62.5</p> Signup and view all the answers

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

    <p>Multiply the volume by the weight per unit volume</p> Signup and view all the answers

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

    <p>Align the decimal points, then add or subtract corresponding digits</p> Signup and view all the answers

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

    <p>55%</p> Signup and view all the answers

    What is the correct step to multiply decimal numbers?

    <p>Convert the decimals to whole numbers by multiplying by powers of 10, then multiply</p> Signup and view all the answers

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

    <p>Convert the divisor to a whole number by multiplying both numbers by a power of 10, then divide</p> Signup and view all the answers

    What is the formula to multiply two fractions?

    <p>$\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$</p> Signup and view all the answers

    How do you simplify a fraction?

    <p>By dividing both the numerator and denominator by their greatest common divisor (GCD)</p> Signup and view all the answers

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

    <p>A decimal value</p> Signup and view all the answers

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

    <p>$\left(\frac{a}{b}\right) \times 100$</p> Signup and view all the answers

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

    <p>Hundredths</p> Signup and view all the answers

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

    <p>$\frac{a}{b} + \frac{c}{d} = \frac{a \times d + b \times c}{b \times d}$</p> Signup and view all the answers

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

    <p>$\frac{a}{b} \div \frac{c}{d} = \frac{a \times d}{b \times c}$</p> Signup and view all the answers

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

    <p>Equivalent fraction</p> Signup and view all the answers

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

    <p>$\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$</p> Signup and view all the answers

    What is the common notation for a fraction?

    <p>$\frac{a}{b}$</p> Signup and view all the answers

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

    <p>To find a common denominator</p> Signup and view all the answers

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

    <p>Division</p> 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?

    <p>It remains the same</p> Signup and view all the answers

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

    <p>3/8</p> Signup and view all the answers

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

    <p>5/12</p> Signup and view all the answers

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

    <p>8/9</p> Signup and view all the answers

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

    <p>1/4</p> Signup and view all the answers

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

    <p>All of the above</p> Signup and view all the answers

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

    <p>Convert the total amount to a decimal if necessary and divide</p> Signup and view all the answers

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

    <p>The weekly savings amount</p> Signup and view all the answers

    When multiplying decimals, what should you do first?

    <p>Convert decimals to whole numbers by multiplying by powers of 10</p> Signup and view all the answers

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

    <p>Convert the divisor to a whole number by multiplying both numbers by a power of 10</p> 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?

    <p>Multiply the volume by the weight per unit volume</p> Signup and view all the answers

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

    <p>Align the decimal points</p> Signup and view all the answers

    What is the percentage of the fraction 1/2?

    <p>50%</p> Signup and view all the answers

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

    <p>230</p> Signup and view all the answers

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

    <p>Percentage/100</p> 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?

    <p>64</p> Signup and view all the answers

    What is the percentage change from 15 to 18?

    <p>20%</p> Signup and view all the answers

    What is the result of adding 1.2 and 2.5?

    <p>3.9</p> Signup and view all the answers

    What is the result of multiplying 2.4 by 3.5?

    <p>8.4</p> Signup and view all the answers

    What is the result of dividing 6.3 by 1.2?

    <p>5.5</p> Signup and view all the answers

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

    <p>66.7%</p> Signup and view all the answers

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

    <p>90</p> Signup and view all the answers

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

    <p>$\frac{1}{6}$</p> Signup and view all the answers

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

    <p>$\frac{2}{3}$</p> Signup and view all the answers

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

    <p>0.75</p> Signup and view all the answers

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

    <p>40%</p> Signup and view all the answers

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

    <p>$\frac{8}{9}$</p> Signup and view all the answers

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

    <p>$\frac{5}{6}$</p> Signup and view all the answers

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

    <p>Tenths</p> Signup and view all the answers

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

    <p>$\frac{3}{8}$</p> Signup and view all the answers

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

    <p>$\frac{13}{5}$</p> Signup and view all the answers

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

    <p>Equivalent fraction</p> Signup and view all the answers

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

    <p>Multiply the numerator by 2 and the denominator by 2</p> Signup and view all the answers

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

    <p>-1/12</p> Signup and view all the answers

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

    <p>Multiply the numerators and multiply the denominators</p> Signup and view all the answers

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

    <p>8/9</p> Signup and view all the answers

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

    <p>Multiply 3/4 by 1/3</p> Signup and view all the answers

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

    <p>6/12</p> Signup and view all the answers

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

    <p>5/12</p> Signup and view all the answers

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

    <p>Divide the numerator by 2 and the denominator by 2</p> Signup and view all the answers

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

    <p>Convert the divisor to a whole number by multiplying both numbers by a power of 10, then divide.</p> 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?

    <p>Divide $120 by 8 without any conversion.</p> Signup and view all the answers

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

    <p>Multiply the volume by the weight per unit volume.</p> Signup and view all the answers

    What is the correct step to multiply decimal numbers?

    <p>Convert decimals to whole numbers, multiply, and then adjust the decimal place.</p> Signup and view all the answers

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

    <p>Divide the total amount saved by the weekly savings amount.</p> Signup and view all the answers

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

    <p>Align decimal points and then add or subtract.</p> Signup and view all the answers

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

    <p>60%</p> 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?

    <p>268 loaves</p> 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?

    <p>$66.40</p> Signup and view all the answers

    What is the percentage change from 150 to 180?

    <p>20%</p> 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?

    <p>$84</p> Signup and view all the answers

    What is the result of decreasing 120 by 15%?

    <p>102</p> Signup and view all the answers

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

    <p>60%</p> Signup and view all the answers

    What is the result of multiplying 2.5 by 3.7?

    <p>9.25</p> Signup and view all the answers

    What is the result of dividing 6.4 by 0.8?

    <p>8.0</p> Signup and view all the answers

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

    <p>12/35</p> Signup and view all the answers

    What is the result of adding 4.2 and 1.9?

    <p>6.1</p> Signup and view all the answers

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

    <p>3/4</p> Signup and view all the answers

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

    <p>75%</p> Signup and view all the answers

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

    <p>10/9</p> Signup and view all the answers

    What is the equivalent fraction to 3/6?

    <p>1/2</p> Signup and view all the answers

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

    <p>3/4</p> Signup and view all the answers

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

    <p>3/20</p> Signup and view all the answers

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

    <p>3/5</p> Signup and view all the answers

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

    <p>7.2</p> Signup and view all the answers

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

    <p>7.5</p> Signup and view all the answers

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

    <p>Convert 48.6 to a decimal, then divide by 6</p> 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?

    <p>Divide 300 by 25.8, then round up to the nearest whole number</p> 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?

    <p>Multiply 3.5 by 2.5, then add 5</p> Signup and view all the answers

    What is the result of adding 4.2 and 1.9?

    <p>6.08</p> Signup and view all the answers

    What is the result of multiplying 2.5 by 3.1?

    <p>7.85</p> Signup and view all the answers

    What is the result of dividing 4.9 by 0.7?

    <p>6.7</p> 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?

    <p>0.6 liters</p> 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?

    <p>6 bags</p> Signup and view all the answers

    What is the result of multiplying 2.8 by 0.4?

    <p>1.12</p> 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?

    <p>12 weeks</p> 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?

    <p>3.9 kg</p> Signup and view all the answers

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

    <p>$400</p> 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?

    <p>4.16 kg</p> Signup and view all the answers

    What is the result of multiplying 3.2 by 2.5?

    <p>8.0</p> Signup and view all the answers

    What is the result of dividing 12.8 by 1.6?

    <p>8.0</p> Signup and view all the answers

    What is the result of adding 4.2 and 2.9?

    <p>7.1</p> Signup and view all the answers

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

    <p>3/25</p> Signup and view all the answers

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

    <p>9/15</p> Signup and view all the answers

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

    <p>15/8</p> Signup and view all the answers

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

    <p>3/20</p> Signup and view all the answers

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

    <p>6/12</p> Signup and view all the answers

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

    <p>1/12</p> Signup and view all the answers

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

    <p>6/9</p> Signup and view all the answers

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

    <p>5/6</p> Signup and view all the answers

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

    <p>3/8</p> Signup and view all the answers

    What is the result of increasing 80 by 12.5%?

    <p>89.5</p> Signup and view all the answers

    What is the percentage change from 18 to 22.5?

    <p>28.13%</p> Signup and view all the answers

    What is the result of multiplying 2.5 by 1.25?

    <p>3.125</p> Signup and view all the answers

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

    <p>9/12</p> Signup and view all the answers

    What is the result of dividing 4.8 by 0.2?

    <p>24</p> Signup and view all the answers

    What is the fraction equivalent to 27.5%?

    <p>11/40</p> Signup and view all the answers

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

    <p>2/3</p> Signup and view all the answers

    What is the result of decreasing 60 by 20%?

    <p>48</p> Signup and view all the answers

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

    <p>60%</p> Signup and view all the answers

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

    <p>60.71%</p> 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?

    <p>$36</p> Signup and view all the answers

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

    <p>9/8</p> Signup and view all the answers

    What is the result of adding 2.75 and 1.25?

    <p>4.25</p> Signup and view all the answers

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

    <p>66.67%</p> Signup and view all the answers

    What is the equivalent fraction to 3/6?

    <p>1/2</p> Signup and view all the answers

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

    <p>3/8</p> Signup and view all the answers

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

    <p>3/4</p> Signup and view all the answers

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

    <p>0.4</p> Signup and view all the answers

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

    <p>1/6</p> Signup and view all the answers

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

    <p>Convert the total amount to a decimal and divide</p> Signup and view all the answers

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

    <p>The weekly savings amount</p> Signup and view all the answers

    What is the correct step when multiplying decimals?

    <p>Convert decimals to whole numbers, multiply, and then adjust the decimal place</p> Signup and view all the answers

    What is the correct step when dividing decimals?

    <p>Convert the divisor to a whole number, divide, and then adjust the quotient</p> 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?

    <p>Multiply the volume by the weight per unit volume</p> Signup and view all the answers

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

    <p>Align the decimal points</p> Signup and view all the answers

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

    <p>Convert both decimals to whole numbers, divide, and then adjust the quotient</p> Signup and view all the answers

    What is the correct method to determine the total savings?

    <p>Multiply the weekly savings amount by the number of weeks</p> Signup and view all the answers

    What is the correct step when subtracting decimal numbers?

    <p>Convert decimals to whole numbers, subtract, and then adjust the decimal place</p> 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?

    <p>Multiply the weight by the cost per unit weight</p> Signup and view all the answers

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

    <p>Convert the total amount to a decimal if necessary, then divide by 4.</p> 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?

    <p>Multiply the volume by the weight per unit volume.</p> Signup and view all the answers

    What is the correct step in multiplying decimal numbers?

    <p>Convert the decimals to whole numbers, multiply, and then adjust the decimal place.</p> Signup and view all the answers

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

    <p>Divide the total amount saved by the weekly savings amount.</p> Signup and view all the answers

    What is the correct step in dividing decimal numbers?

    <p>Convert the divisor to a whole number, then divide.</p> Signup and view all the answers

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