Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 49/27 and 84/18

1st number: 1 22/27, 2nd number: 4 12/18

49/27 + 84/18 is 175/27.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 27 and 18 is 54

    Next, find the equivalent fraction of both fractional numbers with denominator 54
  2. For the 1st fraction, since 27 × 2 = 54,
    49/27 = 49 × 2/27 × 2 = 98/54
  3. Likewise, for the 2nd fraction, since 18 × 3 = 54,
    84/18 = 84 × 3/18 × 3 = 252/54
  4. Add the two like fractions:
    98/54 + 252/54 = 98 + 252/54 = 350/54
  5. 350/54 simplified gives 175/27
  6. So, 49/27 + 84/18 = 175/27
    In mixed form: 613/27

MathStep (Works offline)

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

Related:

© everydaycalculation.com