Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 42/40 and 32/27

1st number: 1 2/40, 2nd number: 1 5/27

42/40 + 32/27 is 1207/540.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 27 is 1080

    Next, find the equivalent fraction of both fractional numbers with denominator 1080
  2. For the 1st fraction, since 40 × 27 = 1080,
    42/40 = 42 × 27/40 × 27 = 1134/1080
  3. Likewise, for the 2nd fraction, since 27 × 40 = 1080,
    32/27 = 32 × 40/27 × 40 = 1280/1080
  4. Add the two like fractions:
    1134/1080 + 1280/1080 = 1134 + 1280/1080 = 2414/1080
  5. 2414/1080 simplified gives 1207/540
  6. So, 42/40 + 32/27 = 1207/540
    In mixed form: 2127/540

MathStep (Works offline)

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

Related:

© everydaycalculation.com