Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 27/75 and 54/63

27/75 + 54/63 is 213/175.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 63 is 1575

    Next, find the equivalent fraction of both fractional numbers with denominator 1575
  2. For the 1st fraction, since 75 × 21 = 1575,
    27/75 = 27 × 21/75 × 21 = 567/1575
  3. Likewise, for the 2nd fraction, since 63 × 25 = 1575,
    54/63 = 54 × 25/63 × 25 = 1350/1575
  4. Add the two like fractions:
    567/1575 + 1350/1575 = 567 + 1350/1575 = 1917/1575
  5. 1917/1575 simplified gives 213/175
  6. So, 27/75 + 54/63 = 213/175
    In mixed form: 138/175

MathStep (Works offline)

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

Related:

© everydaycalculation.com