Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 12/9 and 20/35

1st number: 1 3/9, 2nd number: 20/35

12/9 + 20/35 is 40/21.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 9 and 35 is 315

    Next, find the equivalent fraction of both fractional numbers with denominator 315
  2. For the 1st fraction, since 9 × 35 = 315,
    12/9 = 12 × 35/9 × 35 = 420/315
  3. Likewise, for the 2nd fraction, since 35 × 9 = 315,
    20/35 = 20 × 9/35 × 9 = 180/315
  4. Add the two like fractions:
    420/315 + 180/315 = 420 + 180/315 = 600/315
  5. 600/315 simplified gives 40/21
  6. So, 12/9 + 20/35 = 40/21
    In mixed form: 119/21

MathStep (Works offline)

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

Related:

© everydaycalculation.com