Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 27/20 and 45/28

1st number: 1 7/20, 2nd number: 1 17/28

27/20 + 45/28 is 207/70.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 20 and 28 is 140

    Next, find the equivalent fraction of both fractional numbers with denominator 140
  2. For the 1st fraction, since 20 × 7 = 140,
    27/20 = 27 × 7/20 × 7 = 189/140
  3. Likewise, for the 2nd fraction, since 28 × 5 = 140,
    45/28 = 45 × 5/28 × 5 = 225/140
  4. Add the two like fractions:
    189/140 + 225/140 = 189 + 225/140 = 414/140
  5. 414/140 simplified gives 207/70
  6. So, 27/20 + 45/28 = 207/70
    In mixed form: 267/70

MathStep (Works offline)

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

Related:

© everydaycalculation.com