Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 5/98 and 45/40

1st number: 5/98, 2nd number: 1 5/40

5/98 + 45/40 is 461/392.

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,
    5/98 = 5 × 20/98 × 20 = 100/1960
  3. Likewise, for the 2nd fraction, since 40 × 49 = 1960,
    45/40 = 45 × 49/40 × 49 = 2205/1960
  4. Add the two like fractions:
    100/1960 + 2205/1960 = 100 + 2205/1960 = 2305/1960
  5. 2305/1960 simplified gives 461/392
  6. So, 5/98 + 45/40 = 461/392
    In mixed form: 169/392

MathStep (Works offline)

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

Related:

© everydaycalculation.com