Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 40/75 and 12/30

40/75 + 12/30 is 14/15.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 30 is 150

    Next, find the equivalent fraction of both fractional numbers with denominator 150
  2. For the 1st fraction, since 75 × 2 = 150,
    40/75 = 40 × 2/75 × 2 = 80/150
  3. Likewise, for the 2nd fraction, since 30 × 5 = 150,
    12/30 = 12 × 5/30 × 5 = 60/150
  4. Add the two like fractions:
    80/150 + 60/150 = 80 + 60/150 = 140/150
  5. 140/150 simplified gives 14/15
  6. So, 40/75 + 12/30 = 14/15

MathStep (Works offline)

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

Related:

© everydaycalculation.com