Multiplying and Dividing Fractions

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Questions and Answers

What is the result of multiplying the fractions (1/2) and (3/4)?

  • 5/8
  • 3/8 (correct)
  • 2/5
  • 1/8

What is the first step in dividing the fractions (1/2) and (3/4)?

  • Invert the first fraction and then multiply
  • Invert the second fraction and then multiply (correct)
  • Multiply the numerators and multiply the denominators
  • Add the numerators and add the denominators

Which of the following fractions is equivalent to 1/2?

  • 1/3
  • 4/5
  • 3/6 (correct)
  • 2/3

What is the result of subtracting the fractions (3/8) and (1/4)?

<p>1/8 (C)</p> Signup and view all the answers

What is the first step in adding the fractions (1/4) and (1/6)?

<p>Find the LCM and convert both fractions (A)</p> Signup and view all the answers

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

<p>5/8 (C)</p> Signup and view all the answers

What is the result of dividing the fractions (2/3) and (3/4)?

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

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

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

Flashcards

Multiplying Fractions

Multiply the numerators and denominators straight across.

Dividing Fractions

Invert the second fraction and then multiply.

Equivalent Fractions

Fractions with the same value but different representations.

What are equivalent fractions?

Fractions that are of equal value, although they may look different.

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Subtracting Fractions

Find a common denominator, then subtract the numerators.

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Adding Fractions

Find the least common multiple, convert fractions, then add numerators.

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How to Multiply Fractions?

Multiply top numbers (numerators), multiply bottom numbers (denominators).

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How to Divide Fractions?

Flip the second fraction, then multiply.

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Study Notes

Multiplying Fractions

  • To multiply fractions, multiply the numerators (numbers on top) and multiply the denominators (numbers on the bottom)
  • The resulting fraction is the product of the two original fractions
  • Example: (1/2) × (3/4) = (1 × 3)/(2 × 4) = 3/8

Dividing Fractions

  • To divide fractions, invert the second fraction (i.e., flip the numerator and denominator) and then multiply
  • Example: (1/2) ÷ (3/4) = (1/2) × (4/3) = 4/6 = 2/3

Equivalent Fractions

  • Equivalent fractions are fractions that have the same value, but different numerators and denominators
  • To find an equivalent fraction, multiply or divide both the numerator and denominator by the same number
  • Example: 1/2 is equivalent to 2/4, 3/6, 4/8, etc.

Subtracting Fractions

  • To subtract fractions, the denominators must be the same
  • If the denominators are different, find the least common multiple (LCM) and convert both fractions to have the LCM as the denominator
  • Then, subtract the numerators and keep the same denominator
  • Example: (3/8) - (1/4) = (3/8) - (2/8) = 1/8

Adding Fractions

  • To add fractions, the denominators must be the same
  • If the denominators are different, find the least common multiple (LCM) and convert both fractions to have the LCM as the denominator
  • Then, add the numerators and keep the same denominator
  • Example: (1/4) + (1/6) = (3/12) + (2/12) = 5/12

Multiplying Fractions

  • Multiply numerators (numbers on top) and multiply denominators (numbers on the bottom) to get the product of two fractions
  • The resulting fraction is the product of the two original fractions
  • Example: (1/2) × (3/4) = (1 × 3)/(2 × 4) = 3/8

Dividing Fractions

  • Invert the second fraction (flip the numerator and denominator) and then multiply to divide fractions
  • Example: (1/2) ÷ (3/4) = (1/2) × (4/3) = 4/6 = 2/3

Equivalent Fractions

  • Equivalent fractions have the same value, but different numerators and denominators
  • Multiply or divide both the numerator and denominator by the same number to find an equivalent fraction
  • Example: 1/2 is equivalent to 2/4, 3/6, 4/8, etc.

Subtracting Fractions

  • Denominators must be the same to subtract fractions
  • If denominators are different, find the least common multiple (LCM) and convert both fractions to have the LCM as the denominator
  • Subtract the numerators and keep the same denominator
  • Example: (3/8) - (1/4) = (3/8) - (2/8) = 1/8

Adding Fractions

  • Denominators must be the same to add fractions
  • If denominators are different, find the least common multiple (LCM) and convert both fractions to have the LCM as the denominator
  • Add the numerators and keep the same denominator
  • Example: (1/4) + (1/6) = (3/12) + (2/12) = 5/12

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