Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 30/21 and 12/9

1st number: 1 9/21, 2nd number: 1 3/9

30/21 + 12/9 is 58/21.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 21 and 9 is 63

    Next, find the equivalent fraction of both fractional numbers with denominator 63
  2. For the 1st fraction, since 21 × 3 = 63,
    30/21 = 30 × 3/21 × 3 = 90/63
  3. Likewise, for the 2nd fraction, since 9 × 7 = 63,
    12/9 = 12 × 7/9 × 7 = 84/63
  4. Add the two like fractions:
    90/63 + 84/63 = 90 + 84/63 = 174/63
  5. 174/63 simplified gives 58/21
  6. So, 30/21 + 12/9 = 58/21
    In mixed form: 216/21

MathStep (Works offline)

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

Related:

© everydaycalculation.com