Fractions and Decimals Quiz - Math Class 7

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Questions and Answers

What is the lowest common denominator (LCD) of 18 and 24?

  • 36
  • 72 (correct)
  • 6
  • 12

What is the simplified form of the fraction (\frac{18}{24})?

  • \(\frac{9}{12}\)
  • \(\frac{2}{3}\)
  • \(\frac{3}{4}\) (correct)
  • \(\frac{6}{8}\)

What is the sign of the answer when you multiply a positive number by a negative number?

  • Positive
  • Negative (correct)
  • It could be either positive or negative
  • There's no way to tell

What is the simplified form of the mixed number (1\frac{4}{5})?

<p>(\frac{9}{5}) (A)</p> Signup and view all the answers

Why is it important to know how to calculate fractions manually, even though a calculator can be used?

<p>Some fractions can't be accurately represented on a calculator (A)</p> Signup and view all the answers

What is the simplest form of the fraction representing Elliot's score on his math test, if he scored 65 out of 80?

<p>13/16 (D)</p> Signup and view all the answers

The fraction 19/4 converted to a mixed number is:

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

What is the decimal equivalent of the simplified fraction obtained after dividing the numerator and denominator of (\frac{0.8}{1.6}) by 0.8?

<p>0.5 (A)</p> Signup and view all the answers

Which of the following fractions, when simplified, results in a decimal equivalent between 0.4 and 0.6?

<p>(\frac{3}{5}) (B)</p> Signup and view all the answers

What is the decimal equivalent of 3/8, based on the table provided?

<p>0.375 (B)</p> Signup and view all the answers

Rendell cycles 42 km at an average speed of 18 km/hr. What fraction represents the time he spent cycling, in its simplest form?

<p>3/7 (A)</p> Signup and view all the answers

Given a decimal equivalent of 0.375, what is the corresponding fraction in its simplest form?

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

Craig buys a ring for $500 and sells it for $750. Expressed as a fraction in its simplest form, the selling price as a fraction of the cost price is:

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

Which of the following fractions, when converted to a decimal, will result in a terminating decimal? (A terminating decimal is a decimal that ends at some point.)

<p>(\frac{1}{4}) (B)</p> Signup and view all the answers

What is the result of multiplying $\frac{3}{4}$ by $\frac{2}{5}$ using the method of cancelling common factors before multiplying?

<p>$\frac{3}{10}$ (B)</p> Signup and view all the answers

What is the result of multiplying $\frac{9}{10}$ by $\frac{5}{6}$ after cancelling common factors before multiplying?

<p>$\frac{3}{4}$ (A)</p> Signup and view all the answers

What is the result of multiplying $\frac{7}{12}$ by $\frac{2}{5}$?

<p>$\frac{14}{60}$ (B)</p> Signup and view all the answers

What is the result of multiplying $\frac{1}{3}$ and $\frac{1}{8}$?

<p>$\frac{1}{24}$ (D)</p> Signup and view all the answers

What is the result of the following calculation: 1 1/2 + 2 4/5 ?

<p>4 3/10 (C)</p> Signup and view all the answers

If a piece of wood is 4 meters long and is cut into pieces measuring 2/5 meters long, how many pieces are there?

<p>10 pieces (C)</p> Signup and view all the answers

What is the result of the following calculation: 43/20 + 5/6 ?

<p>2 23/60 (B)</p> Signup and view all the answers

A bottle contains 2 1/4 litres of water. How many glasses of volume 2/5 litre can it fill?

<p>5 glasses (C)</p> Signup and view all the answers

A roll of ribbon is 32 1/2 cm long. How many pieces 1 1/4 cm long can be cut from the roll?

<p>26 pieces (D)</p> Signup and view all the answers

In Problem 9, what fraction of the pizza did Teddy not eat for dinner?

<p>$\frac{3}{10}$ (B)</p> Signup and view all the answers

If Problem 10 were changed so that the warehouse space occupied $\frac{3}{8}$ of the remaining floor area after the production line, what would be the floor area of the production line?

<p>$\frac{3}{4}$ of the total floor area (B)</p> Signup and view all the answers

Suppose in Problem 10, the factory wants to build a new extension, increasing the floor area by $\frac{1}{4}$ its original value. If the warehouse space remains at $2000 m^2$ and the proportion of floor area dedicated to production, offices, and warehouse space stay the same, calculate the new floor area of the production line.

<p>$\frac{5}{3}* 2000 m^2$ (B)</p> Signup and view all the answers

What fraction of the pizza did Teddy eat in total?

<p>$\frac{7}{10}$ (D)</p> Signup and view all the answers

If the factory floor area is 10,000 $m^2$, how many square meters of the floor area are occupied by the production line?

<p>6667 $m^2$ (A)</p> Signup and view all the answers

What is the fraction of homework that remains undone for Li if she completes one-quarter before dinner and one-third after dinner?

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

What is the fraction of chemical D if compounds A, B, and C are represented by $ rac{1}{8}$, $ rac{1}{5}$, and $ rac{10}{36}$ respectively?

<p>7/40 (C)</p> Signup and view all the answers

When adding the fractions $ rac{1}{5}$, $ rac{3}{10}$, and $ rac{9}{20}$, what is the simplified result?

<p>5/4 (D)</p> Signup and view all the answers

Reducing the result of the operation $ rac{7}{2} - 2 - rac{1}{6}$ leads to which fraction?

<p>19/6 (A)</p> Signup and view all the answers

If a mixed number is represented as $4 + rac{2}{3} + rac{6}{6}$, what is its improper fraction form?

<p>32/3 (D)</p> Signup and view all the answers

What is the first step in evaluating the expression $8 + (6 - 4) * 3^2 - 5$?

<p>Brackets (B)</p> Signup and view all the answers

In the expression $12 - 4 + 2^3 * (3 + 1)$, what should be calculated after resolving the brackets?

<p>Indices (B)</p> Signup and view all the answers

What is the correct result of the expression $5 + 2 * 3^2 - (8 - 4)$ when following the order of operations?

<p>14 (D)</p> Signup and view all the answers

Which operation is performed last when evaluating the expression $4 + 8 - 2 * 3 + 6 / 2$?

<p>Subtraction (B)</p> Signup and view all the answers

When evaluating the expression $7 * (3 + 2) - 4^2 / 2$, which step follows the evaluation of indices?

<p>Multiplication (A)</p> Signup and view all the answers

What is the result of dividing 2 by one-third?

<p>6 (B)</p> Signup and view all the answers

How can you express the operation $9 \div 1\frac{1}{5}$ using multiplication?

<p>$9 \times \frac{5}{6}$ (C)</p> Signup and view all the answers

What is the result of the operation $1\frac{2}{5} \div \frac{3}{5}$?

<p>$2\frac{1}{3}$ (B)</p> Signup and view all the answers

If you divide $2\frac{2}{3}$ by 4, what is the result?

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

What does $\frac{1}{2} \div 3$ equal when simplified?

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

What is the value of the expression (16 - 4 × 3) / (6 + 3 × 2)?

<p>1/3 (B)</p> Signup and view all the answers

If you insert brackets in the expression 4 × 5 - 3 + 2, what would lead to a result of 10?

<p>(4 × 5 - 3) + 2 (D)</p> Signup and view all the answers

Which of the following expressions evaluates to 14 according to the order of operations?

<p>3 × 4 + 2 (A), 2 + 3 × 4 (D)</p> Signup and view all the answers

What is the result of the expression 12 + 4 × 2?

<p>20 (D)</p> Signup and view all the answers

Which of the following pairs of operations correctly demonstrates the concept of the line in a fraction acting like brackets?

<p>(1 + 2)/3 (A)</p> Signup and view all the answers

Flashcards

Converting fraction to decimal

Divide the numerator by the denominator.

Simplifying fractions

Reducing fractions to their simplest form.

Mixed numbers to improper fractions

Convert mixed numbers to improper fractions for calculations.

Converting decimal to fraction

Write as a fraction with a power of ten in the denominator.

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Changing fractions to mixed numbers

Convert an improper fraction into a whole number and a proper fraction.

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Improper Fraction

A fraction where the numerator is greater than or equal to the denominator.

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Mixed Number

A whole number combined with a proper fraction.

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Fraction to Decimal Conversion

Changing a fraction into an equivalent decimal value.

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Fraction in Simplest Form

A fraction where the numerator and denominator cannot be simplified further.

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Fraction

A mathematical expression representing a part of a whole, shown as one number over another.

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Lowest Common Denominator

The smallest number that can be a common denominator for two or more fractions.

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Common Factors

Numbers that divide two or more numbers evenly without leaving a remainder.

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Converting Mixed Numbers

Changing a mixed number, like 1 2/3, into an improper fraction, such as 5/3.

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Multiplying Fractions

The process of finding the product of two or more fractions by multiplying their numerators and denominators.

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Numerator

The top number in a fraction that indicates how many parts we have.

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Denominator

The bottom number in a fraction that shows how many equal parts the whole is divided into.

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Order of Operations

Rules that determine the sequence of calculations in math.

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BIDMAS

A mnemonic for Brackets, Indices, Division/Multiplication, Addition/Subtraction.

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Brackets

Operations inside brackets should be performed first in calculations.

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Indices

Power or exponent calculations to be done after brackets.

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Final step in Order of Operations

Perform addition and subtraction from left to right last.

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Dividing by a fraction

To divide by a fraction, multiply by its reciprocal.

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Adding fractions

When adding fractions, find a common denominator first.

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Subtracting fractions

Same as adding, but you subtract the numerators after matching denominators.

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Mixed number addition

Add whole numbers first, then add fractions for total sum.

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Fraction of a whole

To find what fraction of the whole is taken, add fractions together.

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Common denominator

A shared multiple of the denominators that allows addition or subtraction of fractions.

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Dividing Fractions

To divide by a fraction, multiply by its reciprocal.

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Reciprocal

The reciprocal of a fraction is created by swapping the numerator and denominator.

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Example of Dividing Fractions

Dividing a half of a chocolate bar into three parts gives one-sixth for each friend.

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Finding Total Blocks

Dividing two bars of chocolate into thirds results in six blocks.

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Work with Mixed Numbers

To divide a mixed number by a fraction, convert and multiply by the reciprocal.

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PEMDAS

An acronym for the order of operations: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction.

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Evaluating Expressions

The process of calculating the value of a mathematical phrase using order of operations.

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Brackets in Fractions

In fractions, a line acts like brackets to indicate operations that should be performed first.

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Inserting Brackets

Adding brackets in an expression to alter the standard order of operations and achieve a desired result.

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Order of Operations Example

Calculating 16 - 4 × 3 / (6 + 3 × 2) simplifies to 1/3 by following order rules.

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Word "of" in math

In mathematical terms, 'of' means to multiply.

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Dividing common factors

Simplify fractions by dividing out common factors before multiplying.

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Whole numbers as fractions

Whole numbers can be treated as fractions, e.g., 5 is $ rac{5}{1}$.

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Fraction problems in context

Practice problems often involve real-world scenarios with fractions, adding, and multiplying them.

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