Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 21/8 and 75/54

1st number: 2 5/8, 2nd number: 1 21/54

21/8 + 75/54 is 289/72.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 8 and 54 is 216

    Next, find the equivalent fraction of both fractional numbers with denominator 216
  2. For the 1st fraction, since 8 × 27 = 216,
    21/8 = 21 × 27/8 × 27 = 567/216
  3. Likewise, for the 2nd fraction, since 54 × 4 = 216,
    75/54 = 75 × 4/54 × 4 = 300/216
  4. Add the two like fractions:
    567/216 + 300/216 = 567 + 300/216 = 867/216
  5. 867/216 simplified gives 289/72
  6. So, 21/8 + 75/54 = 289/72
    In mixed form: 41/72

MathStep (Works offline)

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

Related:

© everydaycalculation.com