Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 32/15 and 63/42

1st number: 2 2/15, 2nd number: 1 21/42

32/15 + 63/42 is 109/30.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 15 and 42 is 210

    Next, find the equivalent fraction of both fractional numbers with denominator 210
  2. For the 1st fraction, since 15 × 14 = 210,
    32/15 = 32 × 14/15 × 14 = 448/210
  3. Likewise, for the 2nd fraction, since 42 × 5 = 210,
    63/42 = 63 × 5/42 × 5 = 315/210
  4. Add the two like fractions:
    448/210 + 315/210 = 448 + 315/210 = 763/210
  5. 763/210 simplified gives 109/30
  6. So, 32/15 + 63/42 = 109/30
    In mixed form: 319/30

MathStep (Works offline)

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

Related:

© everydaycalculation.com