Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 8/5 and 21/24

1st number: 1 3/5, 2nd number: 21/24

8/5 + 21/24 is 99/40.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 5 and 24 is 120

    Next, find the equivalent fraction of both fractional numbers with denominator 120
  2. For the 1st fraction, since 5 × 24 = 120,
    8/5 = 8 × 24/5 × 24 = 192/120
  3. Likewise, for the 2nd fraction, since 24 × 5 = 120,
    21/24 = 21 × 5/24 × 5 = 105/120
  4. Add the two like fractions:
    192/120 + 105/120 = 192 + 105/120 = 297/120
  5. 297/120 simplified gives 99/40
  6. So, 8/5 + 21/24 = 99/40
    In mixed form: 219/40

MathStep (Works offline)

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

Related:

© everydaycalculation.com