Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 72/98 and 40/54

72/98 + 40/54 is 1952/1323.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 98 and 54 is 2646

    Next, find the equivalent fraction of both fractional numbers with denominator 2646
  2. For the 1st fraction, since 98 × 27 = 2646,
    72/98 = 72 × 27/98 × 27 = 1944/2646
  3. Likewise, for the 2nd fraction, since 54 × 49 = 2646,
    40/54 = 40 × 49/54 × 49 = 1960/2646
  4. Add the two like fractions:
    1944/2646 + 1960/2646 = 1944 + 1960/2646 = 3904/2646
  5. 3904/2646 simplified gives 1952/1323
  6. So, 72/98 + 40/54 = 1952/1323
    In mixed form: 1629/1323

MathStep (Works offline)

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

Related:

© everydaycalculation.com