Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 21/40 and 84/98

21/40 + 84/98 is 387/280.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 1960
  2. For the 1st fraction, since 40 × 49 = 1960,
    21/40 = 21 × 49/40 × 49 = 1029/1960
  3. Likewise, for the 2nd fraction, since 98 × 20 = 1960,
    84/98 = 84 × 20/98 × 20 = 1680/1960
  4. Add the two like fractions:
    1029/1960 + 1680/1960 = 1029 + 1680/1960 = 2709/1960
  5. 2709/1960 simplified gives 387/280
  6. So, 21/40 + 84/98 = 387/280
    In mixed form: 1107/280

MathStep (Works offline)

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

Related:

© everydaycalculation.com