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

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

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

How do you convert a fraction to a decimal?

<p>Divide the numerator by the denominator. (B)</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. (A)</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 (D)</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 (B)</p> Signup and view all the answers

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

<p>The original fraction (D)</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 (B)</p> Signup and view all the answers

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

<p>Multiplying the fractions (C)</p> Signup and view all the answers

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

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

What is the final step in converting a fraction to a percentage?

<p>Multiplying by 100 (A)</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 (B)</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 (C)</p> Signup and view all the answers

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

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

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

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

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

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

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

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

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

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

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

<p>0.75 (A)</p> Signup and view all the answers

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

<p>40% (D)</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 (C)</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 (B)</p> Signup and view all the answers

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

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

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

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

What is the simplified form of the fraction 12/20?

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

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

<p>0.4 (C)</p> Signup and view all the answers

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

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

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

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

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