Adding Fractions with Like and Unlike Denominators
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Questions and Answers

What is the first step to add fractions?

  • Convert both fractions to have the LCM as the denominator
  • Check if the denominators are the same (correct)
  • Simplify the resulting fraction
  • Add the numerators and keep the same denominator

    • What is the purpose of finding the least common multiple (LCM) of the denominators?

  • To add the numerators
  • To simplify the resulting fraction
  • To convert both fractions to have the same denominator (correct)
  • To check if the denominators are the same

    • What happens when you add fractions with the same denominator?

  • You add the numerators and keep the same denominator (correct)
  • You need to find the LCM of the denominators
  • You subtract the numerators and keep the same denominator
  • You convert both fractions to have the LCM as the denominator

    • What is the result of adding 1/4 and 2/4?

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

    What is the final step in adding fractions?

    <p>Simplify the resulting fraction, if possible</p> Signup and view all the answers

    Study Notes

    Adding Fractions

    Like Denominators

    • Fractions with the same denominator can be added by adding the numerators and keeping the same denominator.
    • Example: 1/4 + 2/4 = (1+2)/4 = 3/4

    Unlike Denominators

    • Fractions with different denominators need to find the least common multiple (LCM) of the denominators.
    • Convert both fractions to have the LCM as the denominator.
    • Add the numerators and keep the LCM as the denominator.
    • Example: 1/4 + 1/6
      • LCM of 4 and 6 is 12.
      • Convert: 3/12 + 2/12 = (3+2)/12 = 5/12

    Steps to Add Fractions

    1. Check if the denominators are the same.
      • If same, add numerators and keep the denominator.
      • If different, find the LCM of the denominators.
    2. Convert both fractions to have the LCM as the denominator.
    3. Add the numerators and keep the LCM as the denominator.
    4. Simplify the resulting fraction, if possible.

    Adding Fractions with Like Denominators

    • Fractions with the same denominator can be added by adding the numerators and keeping the same denominator.
    • Example: 1/4 + 2/4 = (1+2)/4 = 3/4

    Adding Fractions with Unlike Denominators

    • Fractions with different denominators need to find the least common multiple (LCM) of the denominators.
    • To add fractions with unlike denominators, convert both fractions to have the LCM as the denominator.
    • Then, add the numerators and keep the LCM as the denominator.
    • Example: 1/4 + 1/6 = LCM of 4 and 6 is 12, so convert to 3/12 + 2/12 = (3+2)/12 = 5/12

    Steps to Add Fractions

    • Check if the denominators are the same, if same, add numerators and keep the denominator.
    • If denominators are different, find the LCM of the denominators.
    • Convert both fractions to have the LCM as the denominator.
    • Add the numerators and keep the LCM as the denominator.
    • Simplify the resulting fraction, if possible.

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    Description

    Learn how to add fractions with the same and different denominators. Understand the concept of least common multiple (LCM) and how to apply it to add fractions.

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