Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 21/30 and 24/45

21/30 + 24/45 is 37/30.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 30 and 45 is 90

    Next, find the equivalent fraction of both fractional numbers with denominator 90
  2. For the 1st fraction, since 30 × 3 = 90,
    21/30 = 21 × 3/30 × 3 = 63/90
  3. Likewise, for the 2nd fraction, since 45 × 2 = 90,
    24/45 = 24 × 2/45 × 2 = 48/90
  4. Add the two like fractions:
    63/90 + 48/90 = 63 + 48/90 = 111/90
  5. 111/90 simplified gives 37/30
  6. So, 21/30 + 24/45 = 37/30
    In mixed form: 17/30

MathStep (Works offline)

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

Related:

© everydaycalculation.com