Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 49/45 and 7/84

1st number: 1 4/45, 2nd number: 7/84

49/45 + 7/84 is 211/180.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 1260
  2. For the 1st fraction, since 45 × 28 = 1260,
    49/45 = 49 × 28/45 × 28 = 1372/1260
  3. Likewise, for the 2nd fraction, since 84 × 15 = 1260,
    7/84 = 7 × 15/84 × 15 = 105/1260
  4. Add the two like fractions:
    1372/1260 + 105/1260 = 1372 + 105/1260 = 1477/1260
  5. 1477/1260 simplified gives 211/180
  6. So, 49/45 + 7/84 = 211/180
    In mixed form: 131/180

MathStep (Works offline)

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

Related:

© everydaycalculation.com