Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 14/49 and 35/16

1st number: 14/49, 2nd number: 2 3/16

14/49 + 35/16 is 277/112.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 49 and 16 is 784

    Next, find the equivalent fraction of both fractional numbers with denominator 784
  2. For the 1st fraction, since 49 × 16 = 784,
    14/49 = 14 × 16/49 × 16 = 224/784
  3. Likewise, for the 2nd fraction, since 16 × 49 = 784,
    35/16 = 35 × 49/16 × 49 = 1715/784
  4. Add the two like fractions:
    224/784 + 1715/784 = 224 + 1715/784 = 1939/784
  5. 1939/784 simplified gives 277/112
  6. So, 14/49 + 35/16 = 277/112
    In mixed form: 253/112

MathStep (Works offline)

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

Related:

© everydaycalculation.com