Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 12/8 and 42/21

1st number: 1 4/8, 2nd number: 2 0/21

12/8 + 42/21 is 7/2.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 8 and 21 is 168

    Next, find the equivalent fraction of both fractional numbers with denominator 168
  2. For the 1st fraction, since 8 × 21 = 168,
    12/8 = 12 × 21/8 × 21 = 252/168
  3. Likewise, for the 2nd fraction, since 21 × 8 = 168,
    42/21 = 42 × 8/21 × 8 = 336/168
  4. Add the two like fractions:
    252/168 + 336/168 = 252 + 336/168 = 588/168
  5. 588/168 simplified gives 7/2
  6. So, 12/8 + 42/21 = 7/2
    In mixed form: 31/2

MathStep (Works offline)

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

Related:

© everydaycalculation.com