Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 21/54 and 75/40

1st number: 21/54, 2nd number: 1 35/40

21/54 + 75/40 is 163/72.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 54 and 40 is 1080

    Next, find the equivalent fraction of both fractional numbers with denominator 1080
  2. For the 1st fraction, since 54 × 20 = 1080,
    21/54 = 21 × 20/54 × 20 = 420/1080
  3. Likewise, for the 2nd fraction, since 40 × 27 = 1080,
    75/40 = 75 × 27/40 × 27 = 2025/1080
  4. Add the two like fractions:
    420/1080 + 2025/1080 = 420 + 2025/1080 = 2445/1080
  5. 2445/1080 simplified gives 163/72
  6. So, 21/54 + 75/40 = 163/72
    In mixed form: 219/72

MathStep (Works offline)

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

Related:

© everydaycalculation.com