Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 10/84 and 30/27

1st number: 10/84, 2nd number: 1 3/27

10/84 + 30/27 is 155/126.

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,
    10/84 = 10 × 9/84 × 9 = 90/756
  3. Likewise, for the 2nd fraction, since 27 × 28 = 756,
    30/27 = 30 × 28/27 × 28 = 840/756
  4. Add the two like fractions:
    90/756 + 840/756 = 90 + 840/756 = 930/756
  5. 930/756 simplified gives 155/126
  6. So, 10/84 + 30/27 = 155/126
    In mixed form: 129/126

MathStep (Works offline)

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

Related:

© everydaycalculation.com