Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 49/18 and 14/16

1st number: 2 13/18, 2nd number: 14/16

49/18 + 14/16 is 259/72.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 18 and 16 is 144

    Next, find the equivalent fraction of both fractional numbers with denominator 144
  2. For the 1st fraction, since 18 × 8 = 144,
    49/18 = 49 × 8/18 × 8 = 392/144
  3. Likewise, for the 2nd fraction, since 16 × 9 = 144,
    14/16 = 14 × 9/16 × 9 = 126/144
  4. Add the two like fractions:
    392/144 + 126/144 = 392 + 126/144 = 518/144
  5. 518/144 simplified gives 259/72
  6. So, 49/18 + 14/16 = 259/72
    In mixed form: 343/72

MathStep (Works offline)

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

Related:

© everydaycalculation.com