Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 56/15 and 49/40

1st number: 3 11/15, 2nd number: 1 9/40

56/15 + 49/40 is 119/24.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 15 and 40 is 120

    Next, find the equivalent fraction of both fractional numbers with denominator 120
  2. For the 1st fraction, since 15 × 8 = 120,
    56/15 = 56 × 8/15 × 8 = 448/120
  3. Likewise, for the 2nd fraction, since 40 × 3 = 120,
    49/40 = 49 × 3/40 × 3 = 147/120
  4. Add the two like fractions:
    448/120 + 147/120 = 448 + 147/120 = 595/120
  5. 595/120 simplified gives 119/24
  6. So, 56/15 + 49/40 = 119/24
    In mixed form: 423/24

MathStep (Works offline)

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

Related:

© everydaycalculation.com