Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 12/21 and 45/84

12/21 + 45/84 is 31/28.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 21 and 84 is 84

    Next, find the equivalent fraction of both fractional numbers with denominator 84
  2. For the 1st fraction, since 21 × 4 = 84,
    12/21 = 12 × 4/21 × 4 = 48/84
  3. Likewise, for the 2nd fraction, since 84 × 1 = 84,
    45/84 = 45 × 1/84 × 1 = 45/84
  4. Add the two like fractions:
    48/84 + 45/84 = 48 + 45/84 = 93/84
  5. 93/84 simplified gives 31/28
  6. So, 12/21 + 45/84 = 31/28
    In mixed form: 13/28

MathStep (Works offline)

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

Related:

© everydaycalculation.com