Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 20/45 and 28/49

20/45 + 28/49 is 64/63.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 49 is 2205

    Next, find the equivalent fraction of both fractional numbers with denominator 2205
  2. For the 1st fraction, since 45 × 49 = 2205,
    20/45 = 20 × 49/45 × 49 = 980/2205
  3. Likewise, for the 2nd fraction, since 49 × 45 = 2205,
    28/49 = 28 × 45/49 × 45 = 1260/2205
  4. Add the two like fractions:
    980/2205 + 1260/2205 = 980 + 1260/2205 = 2240/2205
  5. 2240/2205 simplified gives 64/63
  6. So, 20/45 + 28/49 = 64/63
    In mixed form: 11/63

MathStep (Works offline)

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

Related:

© everydaycalculation.com