Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 36/27 and 21/8

1st number: 1 9/27, 2nd number: 2 5/8

36/27 + 21/8 is 95/24.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 27 and 8 is 216

    Next, find the equivalent fraction of both fractional numbers with denominator 216
  2. For the 1st fraction, since 27 × 8 = 216,
    36/27 = 36 × 8/27 × 8 = 288/216
  3. Likewise, for the 2nd fraction, since 8 × 27 = 216,
    21/8 = 21 × 27/8 × 27 = 567/216
  4. Add the two like fractions:
    288/216 + 567/216 = 288 + 567/216 = 855/216
  5. 855/216 simplified gives 95/24
  6. So, 36/27 + 21/8 = 95/24
    In mixed form: 323/24

MathStep (Works offline)

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

Related:

© everydaycalculation.com