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

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

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

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

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

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

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

    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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    Description

    Learn how to multiply and divide fractions, including the rules and examples for multiplying and dividing fractions.

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