Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 8/15 and 20/21

8/15 + 20/21 is 52/35.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 15 and 21 is 105

    Next, find the equivalent fraction of both fractional numbers with denominator 105
  2. For the 1st fraction, since 15 × 7 = 105,
    8/15 = 8 × 7/15 × 7 = 56/105
  3. Likewise, for the 2nd fraction, since 21 × 5 = 105,
    20/21 = 20 × 5/21 × 5 = 100/105
  4. Add the two like fractions:
    56/105 + 100/105 = 56 + 100/105 = 156/105
  5. 156/105 simplified gives 52/35
  6. So, 8/15 + 20/21 = 52/35
    In mixed form: 117/35

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad

Related:

© everydaycalculation.com