Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 21/18 and 40/42

1st number: 1 3/18, 2nd number: 40/42

21/18 + 40/42 is 89/42.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 18 and 42 is 126

    Next, find the equivalent fraction of both fractional numbers with denominator 126
  2. For the 1st fraction, since 18 × 7 = 126,
    21/18 = 21 × 7/18 × 7 = 147/126
  3. Likewise, for the 2nd fraction, since 42 × 3 = 126,
    40/42 = 40 × 3/42 × 3 = 120/126
  4. Add the two like fractions:
    147/126 + 120/126 = 147 + 120/126 = 267/126
  5. 267/126 simplified gives 89/42
  6. So, 21/18 + 40/42 = 89/42
    In mixed form: 25/42

MathStep (Works offline)

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

Related:

© everydaycalculation.com