Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 72/64 and 20/27

1st number: 1 8/64, 2nd number: 20/27

72/64 + 20/27 is 403/216.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 64 and 27 is 1728

    Next, find the equivalent fraction of both fractional numbers with denominator 1728
  2. For the 1st fraction, since 64 × 27 = 1728,
    72/64 = 72 × 27/64 × 27 = 1944/1728
  3. Likewise, for the 2nd fraction, since 27 × 64 = 1728,
    20/27 = 20 × 64/27 × 64 = 1280/1728
  4. Add the two like fractions:
    1944/1728 + 1280/1728 = 1944 + 1280/1728 = 3224/1728
  5. 3224/1728 simplified gives 403/216
  6. So, 72/64 + 20/27 = 403/216
    In mixed form: 1187/216

MathStep (Works offline)

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

Related:

© everydaycalculation.com