Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 54/98 and 90/40

1st number: 54/98, 2nd number: 2 10/40

54/98 + 90/40 is 549/196.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 98 and 40 is 1960

    Next, find the equivalent fraction of both fractional numbers with denominator 1960
  2. For the 1st fraction, since 98 × 20 = 1960,
    54/98 = 54 × 20/98 × 20 = 1080/1960
  3. Likewise, for the 2nd fraction, since 40 × 49 = 1960,
    90/40 = 90 × 49/40 × 49 = 4410/1960
  4. Add the two like fractions:
    1080/1960 + 4410/1960 = 1080 + 4410/1960 = 5490/1960
  5. 5490/1960 simplified gives 549/196
  6. So, 54/98 + 90/40 = 549/196
    In mixed form: 2157/196

MathStep (Works offline)

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

Related:

© everydaycalculation.com