Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 49/27 and 72/56

1st number: 1 22/27, 2nd number: 1 16/56

49/27 + 72/56 is 586/189.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 27 and 56 is 1512

    Next, find the equivalent fraction of both fractional numbers with denominator 1512
  2. For the 1st fraction, since 27 × 56 = 1512,
    49/27 = 49 × 56/27 × 56 = 2744/1512
  3. Likewise, for the 2nd fraction, since 56 × 27 = 1512,
    72/56 = 72 × 27/56 × 27 = 1944/1512
  4. Add the two like fractions:
    2744/1512 + 1944/1512 = 2744 + 1944/1512 = 4688/1512
  5. 4688/1512 simplified gives 586/189
  6. So, 49/27 + 72/56 = 586/189
    In mixed form: 319/189

MathStep (Works offline)

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

Related:

© everydaycalculation.com