Math Gr 8 Ch 3: Calculation Techniques
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Questions and Answers

What is the concept of equivalent fractions?

  • Fractions that represent the same value even though they may look different. (correct)
  • Fractions that have the same numerator but different denominators.
  • Fractions that can be added or subtracted directly.
  • Fractions that have the same denominator but different numerators.
  • What is the formula to add two fractions with different denominators?

  • (a + c) / (b + d)
  • (a - c) / (b - d)
  • (a × b) / (c × d)
  • (a × d + b × c) / (b × d) (correct)
  • What is the formula to multiply two fractions?

  • (a + c) / (b + d)
  • (a - c) / (b - d)
  • (a - b) / (c - d)
  • (a × c) / (b × d) (correct)
  • How do you divide by a fraction?

    <p>Multiply by the reciprocal of the fraction.</p> Signup and view all the answers

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

    <p>(a × c) / (b × d)</p> Signup and view all the answers

    How do you simplify a fraction?

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

    How do you convert a fraction to a decimal?

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

    What is the last step to convert a fraction to a percentage?

    <p>Multiply the decimal by 100.</p> Signup and view all the answers

    What is the result of multiplying the numerator and denominator of a fraction by the same number?

    <p>An equivalent fraction</p> Signup and view all the answers

    What is the least common multiple of the denominators used for when adding or subtracting fractions?

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

    What is the result of dividing a fraction by its reciprocal?

    <p>The original fraction</p> Signup and view all the answers

    What is the greatest common divisor used for when simplifying a fraction?

    <p>To divide both the numerator and denominator</p> Signup and view all the answers

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

    <p>Multiplying the fractions</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 final step in converting a fraction to a percentage?

    <p>Multiplying by 100</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 a common denominator</p> Signup and view all the answers

    If (\frac{2}{3}) is equivalent to (\frac{a}{b}), what is the value of (a+b)?

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

    What is the result of (\frac{1}{2} + \frac{1}{3})?

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

    What is the result of (\frac{2}{3} \times \frac{3}{4})?

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

    What is the result of (\frac{3}{4} \div \frac{2}{3})?

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

    What is the result of (\frac{2}{3} \times \frac{3}{4})?

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

    What is the simplified form of (\frac{12}{18})?

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

    What is the decimal equivalent of (\frac{3}{4})?

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

    What is the percentage equivalent of (\frac{2}{5})?

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

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

    <p>6/4</p> Signup and view all the answers

    What is the first step in adding the fractions 2/3 and 1/4?

    <p>Find the least common multiple of the denominators</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 simplified form of the fraction 12/20?

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

    What is the decimal equivalent of the fraction 2/5?

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

    What is the percentage equivalent of the fraction 1/4?

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

    What is the result of adding the fractions 1/2 and 1/3?

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

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