Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 49/84 and 20/45

49/84 + 20/45 is 37/36.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 45 is 1260

    Next, find the equivalent fraction of both fractional numbers with denominator 1260
  2. For the 1st fraction, since 84 × 15 = 1260,
    49/84 = 49 × 15/84 × 15 = 735/1260
  3. Likewise, for the 2nd fraction, since 45 × 28 = 1260,
    20/45 = 20 × 28/45 × 28 = 560/1260
  4. Add the two like fractions:
    735/1260 + 560/1260 = 735 + 560/1260 = 1295/1260
  5. 1295/1260 simplified gives 37/36
  6. So, 49/84 + 20/45 = 37/36
    In mixed form: 11/36

MathStep (Works offline)

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

Related:

© everydaycalculation.com