Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 49/27 and 70/98

1st number: 1 22/27, 2nd number: 70/98

49/27 + 70/98 is 478/189.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 27 and 98 is 2646

    Next, find the equivalent fraction of both fractional numbers with denominator 2646
  2. For the 1st fraction, since 27 × 98 = 2646,
    49/27 = 49 × 98/27 × 98 = 4802/2646
  3. Likewise, for the 2nd fraction, since 98 × 27 = 2646,
    70/98 = 70 × 27/98 × 27 = 1890/2646
  4. Add the two like fractions:
    4802/2646 + 1890/2646 = 4802 + 1890/2646 = 6692/2646
  5. 6692/2646 simplified gives 478/189
  6. So, 49/27 + 70/98 = 478/189
    In mixed form: 2100/189

MathStep (Works offline)

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

Related:

© everydaycalculation.com