Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 10/84 and 49/54

10/84 + 49/54 is 194/189.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 54 is 756

    Next, find the equivalent fraction of both fractional numbers with denominator 756
  2. For the 1st fraction, since 84 × 9 = 756,
    10/84 = 10 × 9/84 × 9 = 90/756
  3. Likewise, for the 2nd fraction, since 54 × 14 = 756,
    49/54 = 49 × 14/54 × 14 = 686/756
  4. Add the two like fractions:
    90/756 + 686/756 = 90 + 686/756 = 776/756
  5. 776/756 simplified gives 194/189
  6. So, 10/84 + 49/54 = 194/189
    In mixed form: 15/189

MathStep (Works offline)

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

Related:

© everydaycalculation.com