Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 12/4 and 40/9

1st number: 3 0/4, 2nd number: 4 4/9

12/4 + 40/9 is 67/9.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 4 and 9 is 36

    Next, find the equivalent fraction of both fractional numbers with denominator 36
  2. For the 1st fraction, since 4 × 9 = 36,
    12/4 = 12 × 9/4 × 9 = 108/36
  3. Likewise, for the 2nd fraction, since 9 × 4 = 36,
    40/9 = 40 × 4/9 × 4 = 160/36
  4. Add the two like fractions:
    108/36 + 160/36 = 108 + 160/36 = 268/36
  5. 268/36 simplified gives 67/9
  6. So, 12/4 + 40/9 = 67/9
    In mixed form: 74/9

MathStep (Works offline)

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

Related:

© everydaycalculation.com