Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 42/15 and 21/8

1st number: 2 12/15, 2nd number: 2 5/8

42/15 + 21/8 is 217/40.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 15 and 8 is 120

    Next, find the equivalent fraction of both fractional numbers with denominator 120
  2. For the 1st fraction, since 15 × 8 = 120,
    42/15 = 42 × 8/15 × 8 = 336/120
  3. Likewise, for the 2nd fraction, since 8 × 15 = 120,
    21/8 = 21 × 15/8 × 15 = 315/120
  4. Add the two like fractions:
    336/120 + 315/120 = 336 + 315/120 = 651/120
  5. 651/120 simplified gives 217/40
  6. So, 42/15 + 21/8 = 217/40
    In mixed form: 517/40

MathStep (Works offline)

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

Related:

© everydaycalculation.com