Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 54/75 and 30/32

54/75 + 30/32 is 663/400.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 32 is 2400

    Next, find the equivalent fraction of both fractional numbers with denominator 2400
  2. For the 1st fraction, since 75 × 32 = 2400,
    54/75 = 54 × 32/75 × 32 = 1728/2400
  3. Likewise, for the 2nd fraction, since 32 × 75 = 2400,
    30/32 = 30 × 75/32 × 75 = 2250/2400
  4. Add the two like fractions:
    1728/2400 + 2250/2400 = 1728 + 2250/2400 = 3978/2400
  5. 3978/2400 simplified gives 663/400
  6. So, 54/75 + 30/32 = 663/400
    In mixed form: 1263/400

MathStep (Works offline)

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

Related:

© everydaycalculation.com