Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 30/14 and 35/49

1st number: 2 2/14, 2nd number: 35/49

30/14 + 35/49 is 20/7.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 14 and 49 is 98

    Next, find the equivalent fraction of both fractional numbers with denominator 98
  2. For the 1st fraction, since 14 × 7 = 98,
    30/14 = 30 × 7/14 × 7 = 210/98
  3. Likewise, for the 2nd fraction, since 49 × 2 = 98,
    35/49 = 35 × 2/49 × 2 = 70/98
  4. Add the two like fractions:
    210/98 + 70/98 = 210 + 70/98 = 280/98
  5. 280/98 simplified gives 20/7
  6. So, 30/14 + 35/49 = 20/7
    In mixed form: 26/7

MathStep (Works offline)

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

Related:

© everydaycalculation.com