Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 28/40 and 49/54

28/40 + 49/54 is 217/135.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 54 is 1080

    Next, find the equivalent fraction of both fractional numbers with denominator 1080
  2. For the 1st fraction, since 40 × 27 = 1080,
    28/40 = 28 × 27/40 × 27 = 756/1080
  3. Likewise, for the 2nd fraction, since 54 × 20 = 1080,
    49/54 = 49 × 20/54 × 20 = 980/1080
  4. Add the two like fractions:
    756/1080 + 980/1080 = 756 + 980/1080 = 1736/1080
  5. 1736/1080 simplified gives 217/135
  6. So, 28/40 + 49/54 = 217/135
    In mixed form: 182/135

MathStep (Works offline)

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

Related:

© everydaycalculation.com