Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 40/9 and 98/84

1st number: 4 4/9, 2nd number: 1 14/84

40/9 + 98/84 is 101/18.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 9 and 84 is 252

    Next, find the equivalent fraction of both fractional numbers with denominator 252
  2. For the 1st fraction, since 9 × 28 = 252,
    40/9 = 40 × 28/9 × 28 = 1120/252
  3. Likewise, for the 2nd fraction, since 84 × 3 = 252,
    98/84 = 98 × 3/84 × 3 = 294/252
  4. Add the two like fractions:
    1120/252 + 294/252 = 1120 + 294/252 = 1414/252
  5. 1414/252 simplified gives 101/18
  6. So, 40/9 + 98/84 = 101/18
    In mixed form: 511/18

MathStep (Works offline)

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

Related:

© everydaycalculation.com