Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 36/42 and 16/9

1st number: 36/42, 2nd number: 1 7/9

36/42 + 16/9 is 166/63.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 9 is 126

    Next, find the equivalent fraction of both fractional numbers with denominator 126
  2. For the 1st fraction, since 42 × 3 = 126,
    36/42 = 36 × 3/42 × 3 = 108/126
  3. Likewise, for the 2nd fraction, since 9 × 14 = 126,
    16/9 = 16 × 14/9 × 14 = 224/126
  4. Add the two like fractions:
    108/126 + 224/126 = 108 + 224/126 = 332/126
  5. 332/126 simplified gives 166/63
  6. So, 36/42 + 16/9 = 166/63
    In mixed form: 240/63

MathStep (Works offline)

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

Related:

© everydaycalculation.com