Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 21/40 and 28/49

21/40 + 28/49 is 307/280.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 49 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 49 × 40 = 1960,
    28/49 = 28 × 40/49 × 40 = 1120/1960
  4. Add the two like fractions:
    1029/1960 + 1120/1960 = 1029 + 1120/1960 = 2149/1960
  5. 2149/1960 simplified gives 307/280
  6. So, 21/40 + 28/49 = 307/280
    In mixed form: 127/280

MathStep (Works offline)

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

Related:

© everydaycalculation.com