Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 27/4 and 45/27

1st number: 6 3/4, 2nd number: 1 18/27

27/4 + 45/27 is 101/12.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 4 and 27 is 108

    Next, find the equivalent fraction of both fractional numbers with denominator 108
  2. For the 1st fraction, since 4 × 27 = 108,
    27/4 = 27 × 27/4 × 27 = 729/108
  3. Likewise, for the 2nd fraction, since 27 × 4 = 108,
    45/27 = 45 × 4/27 × 4 = 180/108
  4. Add the two like fractions:
    729/108 + 180/108 = 729 + 180/108 = 909/108
  5. 909/108 simplified gives 101/12
  6. So, 27/4 + 45/27 = 101/12
    In mixed form: 85/12

MathStep (Works offline)

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

Related:

© everydaycalculation.com