Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 30/21 and 15/14

1st number: 1 9/21, 2nd number: 1 1/14

30/21 + 15/14 is 5/2.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 21 and 14 is 42

    Next, find the equivalent fraction of both fractional numbers with denominator 42
  2. For the 1st fraction, since 21 × 2 = 42,
    30/21 = 30 × 2/21 × 2 = 60/42
  3. Likewise, for the 2nd fraction, since 14 × 3 = 42,
    15/14 = 15 × 3/14 × 3 = 45/42
  4. Add the two like fractions:
    60/42 + 45/42 = 60 + 45/42 = 105/42
  5. 105/42 simplified gives 5/2
  6. So, 30/21 + 15/14 = 5/2
    In mixed form: 21/2

MathStep (Works offline)

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

Related:

© everydaycalculation.com