Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 72/45 and 16/12

1st number: 1 27/45, 2nd number: 1 4/12

72/45 + 16/12 is 44/15.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 12 is 180

    Next, find the equivalent fraction of both fractional numbers with denominator 180
  2. For the 1st fraction, since 45 × 4 = 180,
    72/45 = 72 × 4/45 × 4 = 288/180
  3. Likewise, for the 2nd fraction, since 12 × 15 = 180,
    16/12 = 16 × 15/12 × 15 = 240/180
  4. Add the two like fractions:
    288/180 + 240/180 = 288 + 240/180 = 528/180
  5. 528/180 simplified gives 44/15
  6. So, 72/45 + 16/12 = 44/15
    In mixed form: 214/15

MathStep (Works offline)

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

Related:

© everydaycalculation.com