Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 21/42 and 35/49

21/42 + 35/49 is 17/14.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 49 is 294

    Next, find the equivalent fraction of both fractional numbers with denominator 294
  2. For the 1st fraction, since 42 × 7 = 294,
    21/42 = 21 × 7/42 × 7 = 147/294
  3. Likewise, for the 2nd fraction, since 49 × 6 = 294,
    35/49 = 35 × 6/49 × 6 = 210/294
  4. Add the two like fractions:
    147/294 + 210/294 = 147 + 210/294 = 357/294
  5. 357/294 simplified gives 17/14
  6. So, 21/42 + 35/49 = 17/14
    In mixed form: 13/14

MathStep (Works offline)

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

Related:

© everydaycalculation.com