Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 27/40 and 75/56

1st number: 27/40, 2nd number: 1 19/56

27/40 + 75/56 is 141/70.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 56 is 280

    Next, find the equivalent fraction of both fractional numbers with denominator 280
  2. For the 1st fraction, since 40 × 7 = 280,
    27/40 = 27 × 7/40 × 7 = 189/280
  3. Likewise, for the 2nd fraction, since 56 × 5 = 280,
    75/56 = 75 × 5/56 × 5 = 375/280
  4. Add the two like fractions:
    189/280 + 375/280 = 189 + 375/280 = 564/280
  5. 564/280 simplified gives 141/70
  6. So, 27/40 + 75/56 = 141/70
    In mixed form: 21/70

MathStep (Works offline)

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

Related:

© everydaycalculation.com