Math Gr 8 Ch 3: Calculations with Fractions
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Questions and Answers

What is the formula to simplify a fraction?

  • $\frac{a}{b} = \frac{a + b}{ab}$
  • $\frac{a}{b} = \frac{a \times b}{a + b}$
  • $\frac{a}{b} = \frac{a - b}{a + b}$
  • $\frac{a}{b} = \frac{a \div GCD(a, b)}{b \div GCD(a, b)}$ (correct)

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

  • $Percentage = \left( \frac{a}{b} \right) \times 50$
  • $Percentage = \left( \frac{a}{b} \right) \times 100$ (correct)
  • $Percentage = \left( \frac{a}{b} \right) \times 200$
  • $Percentage = \frac{a}{b}$

    • What does the term 'hundredths' refer to in fractions?

  • Fractions where the whole is divided into 1000 parts
  • Fractions where the whole is divided into 5 parts
  • Fractions where the whole is divided into 100 parts (correct)
  • Fractions where the whole is divided into 10 parts

    • How do you write a mixed number in fraction notation?

    <p>Write the whole number and fractional part together, such as 2 3/5</p> Signup and view all the answers

    What is the result of multiplying two fractions?

    <p>The result is a fraction with the numerator being the product of the numerators and the denominator being the product of the denominators</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

    What is the key concept behind equivalent fractions?

    <p>Fractions that represent the same value by multiplying or dividing the numerator and denominator by the same number</p> Signup and view all the answers

    What is the formula to add 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 multiply fractions?

    <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 formula to divide fractions?

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

    What is the process of finding a fraction of a fraction?

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

    Why do we need a common denominator to add or subtract fractions?

    <p>Because the fractions need to have the same denominator to perform arithmetic operations</p> Signup and view all the answers

    What is the formula to find an equivalent fraction?

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

    What is the purpose of finding an equivalent fraction?

    <p>To represent the same value with different numerators and denominators</p> Signup and view all the answers

    What is the result of multiplying two fractions with the same denominator?

    <p>A fraction with a numerator equal to the product of the numerators and a denominator equal to the product of the denominators</p> Signup and view all the answers

    What is the purpose of simplifying a fraction?

    <p>To make the fraction easier to work with by reducing the numerator and denominator to their smallest values</p> Signup and view all the answers

    What is the relationship between the numerator and denominator of a fraction in its simplest form?

    <p>The numerator and denominator have no common factors</p> Signup and view all the answers

    How do you convert a fraction to a decimal?

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

    What is the purpose of converting a fraction to a percentage?

    <p>To make the fraction easier to understand</p> Signup and view all the answers

    What is a mixed number?

    <p>A combination of a whole number and a fraction</p> Signup and view all the answers

    If you have two fractions, 1/2 and 3/4, what do you need to find to add them?

    <p>The least common multiple of the denominators</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>The value remains the same</p> Signup and view all the answers

    What is the result of multiplying 1/2 and 2/3?

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

    To find 1/3 of 2/5, what do you need to do?

    <p>Multiply 1/3 and 2/5</p> Signup and view all the answers

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

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

    What is the result of subtracting 1/4 from 3/5?

    <p>7/20</p> Signup and view all the answers

    What is the result of adding 1/6 and 2/8?

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

    What do you need to do to find an equivalent fraction for 3/4?

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

    What is the primary purpose of simplifying a fraction?

    <p>To reduce the fraction to its simplest form, where the numerator and denominator are as small as possible</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

    Which of the following fractions is in its simplest form?

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

    What is the value of the fraction 2/5 in thousandths?

    <p>400</p> Signup and view all the answers

    What is the result of multiplying the fractions 2/3 and 3/4?

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

    What is the result of converting the mixed number 2 3/4 to a fraction?

    <p>11/4</p> Signup and view all the answers

    What is the process of finding a new fraction where the numerator and denominator are multiplied by the same non-zero number?

    <p>Generation of an equivalent fraction</p> Signup and view all the answers

    If you want to add 1/4 and 2/5, what is the first step?

    <p>Find the common denominator</p> Signup and view all the answers

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

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

    What is the result of finding 1/2 of 3/4?

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

    What is the result of adding 2/3 and 3/4?

    <p>17/12</p> Signup and view all the answers

    What is the result of subtracting 1/5 from 2/3?

    <p>7/15</p> Signup and view all the answers

    What is the result of multiplying 2/3 and 3/4?

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

    What is the result of finding 2/3 of 3/5?

    <p>6/15</p> Signup and view all the answers

    If you want to find $rac{2}{3}$ of $rac{3}{5}$, what operation do you need to perform?

    <p>Multiplication</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 least common multiple of 6 and 8?

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

    What is the result of $rac{2}{3} \div rac{3}{4}$?

    <p>$rac{2}{3} imes rac{4}{3}$</p> Signup and view all the answers

    What is the result of $rac{1}{2} + rac{3}{4}$?

    <p>$rac{5}{4}$</p> Signup and view all the answers

    What is the result of $rac{3}{5} - rac{2}{5}$?

    <p>$rac{1}{5}$</p> Signup and view all the answers

    What is the result of $rac{2}{3} imes rac{3}{4}$?

    <p>$rac{6}{9}$</p> Signup and view all the answers

    What is the result of $rac{5}{6} - rac{2}{8}$?

    <p>$rac{13}{24}$</p> Signup and view all the answers

    What is the result of multiplying $\frac{2}{3}$ and $\frac{3}{5}$ in its simplest form?

    <p>$\frac{6}{15}$</p> Signup and view all the answers

    What is the equivalent fraction of $\frac{2}{3}$ when the numerator and denominator are multiplied by 4?

    <p>$\frac{8}{12}$</p> Signup and view all the answers

    What is the result of converting $\frac{3}{4}$ to a decimal and then multiplying by 100 to find the percentage?

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

    What is the result of simplifying $\frac{12}{16}$?

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

    What is the result of converting the mixed number $2\frac{3}{4}$ to a fraction?

    <p>$\frac{11}{4}$</p> Signup and view all the answers

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

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

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