Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 40/9 and 54/4

1st number: 4 4/9, 2nd number: 13 2/4

40/9 + 54/4 is 323/18.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 36
  2. For the 1st fraction, since 9 × 4 = 36,
    40/9 = 40 × 4/9 × 4 = 160/36
  3. Likewise, for the 2nd fraction, since 4 × 9 = 36,
    54/4 = 54 × 9/4 × 9 = 486/36
  4. Add the two like fractions:
    160/36 + 486/36 = 160 + 486/36 = 646/36
  5. 646/36 simplified gives 323/18
  6. So, 40/9 + 54/4 = 323/18
    In mixed form: 1717/18

MathStep (Works offline)

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

Related:

© everydaycalculation.com