Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 42/9 and 7/12

1st number: 4 6/9, 2nd number: 7/12

42/9 + 7/12 is 21/4.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 9 and 12 is 36

    Next, find the equivalent fraction of both fractional numbers with denominator 36
  2. For the 1st fraction, since 9 × 4 = 36,
    42/9 = 42 × 4/9 × 4 = 168/36
  3. Likewise, for the 2nd fraction, since 12 × 3 = 36,
    7/12 = 7 × 3/12 × 3 = 21/36
  4. Add the two like fractions:
    168/36 + 21/36 = 168 + 21/36 = 189/36
  5. 189/36 simplified gives 21/4
  6. So, 42/9 + 7/12 = 21/4
    In mixed form: 51/4

MathStep (Works offline)

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

Related:

© everydaycalculation.com