Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 12/42 and 30/40

12/42 + 30/40 is 29/28.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 40 is 840

    Next, find the equivalent fraction of both fractional numbers with denominator 840
  2. For the 1st fraction, since 42 × 20 = 840,
    12/42 = 12 × 20/42 × 20 = 240/840
  3. Likewise, for the 2nd fraction, since 40 × 21 = 840,
    30/40 = 30 × 21/40 × 21 = 630/840
  4. Add the two like fractions:
    240/840 + 630/840 = 240 + 630/840 = 870/840
  5. 870/840 simplified gives 29/28
  6. So, 12/42 + 30/40 = 29/28
    In mixed form: 11/28

MathStep (Works offline)

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

Related:

© everydaycalculation.com