Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 3/21 and 12/45

3/21 + 12/45 is 43/105.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 21 and 45 is 315

    Next, find the equivalent fraction of both fractional numbers with denominator 315
  2. For the 1st fraction, since 21 × 15 = 315,
    3/21 = 3 × 15/21 × 15 = 45/315
  3. Likewise, for the 2nd fraction, since 45 × 7 = 315,
    12/45 = 12 × 7/45 × 7 = 84/315
  4. Add the two like fractions:
    45/315 + 84/315 = 45 + 84/315 = 129/315
  5. 129/315 simplified gives 43/105
  6. So, 3/21 + 12/45 = 43/105

MathStep (Works offline)

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

Related:

© everydaycalculation.com