Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 45/60 and 16/27

45/60 + 16/27 is 145/108.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 60 and 27 is 540

    Next, find the equivalent fraction of both fractional numbers with denominator 540
  2. For the 1st fraction, since 60 × 9 = 540,
    45/60 = 45 × 9/60 × 9 = 405/540
  3. Likewise, for the 2nd fraction, since 27 × 20 = 540,
    16/27 = 16 × 20/27 × 20 = 320/540
  4. Add the two like fractions:
    405/540 + 320/540 = 405 + 320/540 = 725/540
  5. 725/540 simplified gives 145/108
  6. So, 45/60 + 16/27 = 145/108
    In mixed form: 137/108

MathStep (Works offline)

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

Related:

© everydaycalculation.com