Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 30/35 and 12/21

30/35 + 12/21 is 10/7.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 35 and 21 is 105

    Next, find the equivalent fraction of both fractional numbers with denominator 105
  2. For the 1st fraction, since 35 × 3 = 105,
    30/35 = 30 × 3/35 × 3 = 90/105
  3. Likewise, for the 2nd fraction, since 21 × 5 = 105,
    12/21 = 12 × 5/21 × 5 = 60/105
  4. Add the two like fractions:
    90/105 + 60/105 = 90 + 60/105 = 150/105
  5. 150/105 simplified gives 10/7
  6. So, 30/35 + 12/21 = 10/7
    In mixed form: 13/7

MathStep (Works offline)

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

Related:

© everydaycalculation.com