Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 56/35 and 21/8

1st number: 1 21/35, 2nd number: 2 5/8

56/35 + 21/8 is 169/40.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 35 and 8 is 280

    Next, find the equivalent fraction of both fractional numbers with denominator 280
  2. For the 1st fraction, since 35 × 8 = 280,
    56/35 = 56 × 8/35 × 8 = 448/280
  3. Likewise, for the 2nd fraction, since 8 × 35 = 280,
    21/8 = 21 × 35/8 × 35 = 735/280
  4. Add the two like fractions:
    448/280 + 735/280 = 448 + 735/280 = 1183/280
  5. 1183/280 simplified gives 169/40
  6. So, 56/35 + 21/8 = 169/40
    In mixed form: 49/40

MathStep (Works offline)

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

Related:

© everydaycalculation.com