Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 40/27 and 45/40

1st number: 1 13/27, 2nd number: 1 5/40

40/27 + 45/40 is 563/216.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 1080
  2. For the 1st fraction, since 27 × 40 = 1080,
    40/27 = 40 × 40/27 × 40 = 1600/1080
  3. Likewise, for the 2nd fraction, since 40 × 27 = 1080,
    45/40 = 45 × 27/40 × 27 = 1215/1080
  4. Add the two like fractions:
    1600/1080 + 1215/1080 = 1600 + 1215/1080 = 2815/1080
  5. 2815/1080 simplified gives 563/216
  6. So, 40/27 + 45/40 = 563/216
    In mixed form: 2131/216

MathStep (Works offline)

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

Related:

© everydaycalculation.com