Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 75/54 and 42/28

1st number: 1 21/54, 2nd number: 1 14/28

75/54 + 42/28 is 26/9.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 54 and 28 is 756

    Next, find the equivalent fraction of both fractional numbers with denominator 756
  2. For the 1st fraction, since 54 × 14 = 756,
    75/54 = 75 × 14/54 × 14 = 1050/756
  3. Likewise, for the 2nd fraction, since 28 × 27 = 756,
    42/28 = 42 × 27/28 × 27 = 1134/756
  4. Add the two like fractions:
    1050/756 + 1134/756 = 1050 + 1134/756 = 2184/756
  5. 2184/756 simplified gives 26/9
  6. So, 75/54 + 42/28 = 26/9
    In mixed form: 28/9

MathStep (Works offline)

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

Related:

© everydaycalculation.com