Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 20/9 and 42/84

1st number: 2 2/9, 2nd number: 42/84

20/9 + 42/84 is 49/18.

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,
    20/9 = 20 × 28/9 × 28 = 560/252
  3. Likewise, for the 2nd fraction, since 84 × 3 = 252,
    42/84 = 42 × 3/84 × 3 = 126/252
  4. Add the two like fractions:
    560/252 + 126/252 = 560 + 126/252 = 686/252
  5. 686/252 simplified gives 49/18
  6. So, 20/9 + 42/84 = 49/18
    In mixed form: 213/18

MathStep (Works offline)

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

Related:

© everydaycalculation.com