Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 16/27 and 42/98

16/27 + 42/98 is 193/189.

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,
    16/27 = 16 × 98/27 × 98 = 1568/2646
  3. Likewise, for the 2nd fraction, since 98 × 27 = 2646,
    42/98 = 42 × 27/98 × 27 = 1134/2646
  4. Add the two like fractions:
    1568/2646 + 1134/2646 = 1568 + 1134/2646 = 2702/2646
  5. 2702/2646 simplified gives 193/189
  6. So, 16/27 + 42/98 = 193/189
    In mixed form: 14/189

MathStep (Works offline)

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

Related:

© everydaycalculation.com