Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 16/45 and 9/20

16/45 + 9/20 is 29/36.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 20 is 180

    Next, find the equivalent fraction of both fractional numbers with denominator 180
  2. For the 1st fraction, since 45 × 4 = 180,
    16/45 = 16 × 4/45 × 4 = 64/180
  3. Likewise, for the 2nd fraction, since 20 × 9 = 180,
    9/20 = 9 × 9/20 × 9 = 81/180
  4. Add the two like fractions:
    64/180 + 81/180 = 64 + 81/180 = 145/180
  5. 145/180 simplified gives 29/36
  6. So, 16/45 + 9/20 = 29/36

MathStep (Works offline)

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

Related:

© everydaycalculation.com