Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 28/16 and 49/18

1st number: 1 12/16, 2nd number: 2 13/18

28/16 + 49/18 is 161/36.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 144
  2. For the 1st fraction, since 16 × 9 = 144,
    28/16 = 28 × 9/16 × 9 = 252/144
  3. Likewise, for the 2nd fraction, since 18 × 8 = 144,
    49/18 = 49 × 8/18 × 8 = 392/144
  4. Add the two like fractions:
    252/144 + 392/144 = 252 + 392/144 = 644/144
  5. 644/144 simplified gives 161/36
  6. So, 28/16 + 49/18 = 161/36
    In mixed form: 417/36

MathStep (Works offline)

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

Related:

© everydaycalculation.com