Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 35/28 and 14/5

1st number: 1 7/28, 2nd number: 2 4/5

35/28 + 14/5 is 81/20.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 28 and 5 is 140

    Next, find the equivalent fraction of both fractional numbers with denominator 140
  2. For the 1st fraction, since 28 × 5 = 140,
    35/28 = 35 × 5/28 × 5 = 175/140
  3. Likewise, for the 2nd fraction, since 5 × 28 = 140,
    14/5 = 14 × 28/5 × 28 = 392/140
  4. Add the two like fractions:
    175/140 + 392/140 = 175 + 392/140 = 567/140
  5. 567/140 simplified gives 81/20
  6. So, 35/28 + 14/5 = 81/20
    In mixed form: 41/20

MathStep (Works offline)

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

Related:

© everydaycalculation.com