Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 8/21 and 14/15

8/21 + 14/15 is 46/35.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 105
  2. For the 1st fraction, since 21 × 5 = 105,
    8/21 = 8 × 5/21 × 5 = 40/105
  3. Likewise, for the 2nd fraction, since 15 × 7 = 105,
    14/15 = 14 × 7/15 × 7 = 98/105
  4. Add the two like fractions:
    40/105 + 98/105 = 40 + 98/105 = 138/105
  5. 138/105 simplified gives 46/35
  6. So, 8/21 + 14/15 = 46/35
    In mixed form: 111/35

MathStep (Works offline)

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

Related:

© everydaycalculation.com