Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 12/21 and 30/45

12/21 + 30/45 is 26/21.

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,
    12/21 = 12 × 15/21 × 15 = 180/315
  3. Likewise, for the 2nd fraction, since 45 × 7 = 315,
    30/45 = 30 × 7/45 × 7 = 210/315
  4. Add the two like fractions:
    180/315 + 210/315 = 180 + 210/315 = 390/315
  5. 390/315 simplified gives 26/21
  6. So, 12/21 + 30/45 = 26/21
    In mixed form: 15/21

MathStep (Works offline)

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

Related:

© everydaycalculation.com