Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 49/20 and 45/28

1st number: 2 9/20, 2nd number: 1 17/28

49/20 + 45/28 is 142/35.

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,
    49/20 = 49 × 7/20 × 7 = 343/140
  3. Likewise, for the 2nd fraction, since 28 × 5 = 140,
    45/28 = 45 × 5/28 × 5 = 225/140
  4. Add the two like fractions:
    343/140 + 225/140 = 343 + 225/140 = 568/140
  5. 568/140 simplified gives 142/35
  6. So, 49/20 + 45/28 = 142/35
    In mixed form: 42/35

MathStep (Works offline)

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

Related:

© everydaycalculation.com