Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 27/42 and 21/35

27/42 + 21/35 is 87/70.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 35 is 210

    Next, find the equivalent fraction of both fractional numbers with denominator 210
  2. For the 1st fraction, since 42 × 5 = 210,
    27/42 = 27 × 5/42 × 5 = 135/210
  3. Likewise, for the 2nd fraction, since 35 × 6 = 210,
    21/35 = 21 × 6/35 × 6 = 126/210
  4. Add the two like fractions:
    135/210 + 126/210 = 135 + 126/210 = 261/210
  5. 261/210 simplified gives 87/70
  6. So, 27/42 + 21/35 = 87/70
    In mixed form: 117/70

MathStep (Works offline)

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

Related:

© everydaycalculation.com