Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 40/84 and 18/27

40/84 + 18/27 is 8/7.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 27 is 756

    Next, find the equivalent fraction of both fractional numbers with denominator 756
  2. For the 1st fraction, since 84 × 9 = 756,
    40/84 = 40 × 9/84 × 9 = 360/756
  3. Likewise, for the 2nd fraction, since 27 × 28 = 756,
    18/27 = 18 × 28/27 × 28 = 504/756
  4. Add the two like fractions:
    360/756 + 504/756 = 360 + 504/756 = 864/756
  5. 864/756 simplified gives 8/7
  6. So, 40/84 + 18/27 = 8/7
    In mixed form: 11/7

MathStep (Works offline)

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

Related:

© everydaycalculation.com