Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 84/21 and 49/5

1st number: 4 0/21, 2nd number: 9 4/5

84/21 + 49/5 is 69/5.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 21 and 5 is 105

    Next, find the equivalent fraction of both fractional numbers with denominator 105
  2. For the 1st fraction, since 21 × 5 = 105,
    84/21 = 84 × 5/21 × 5 = 420/105
  3. Likewise, for the 2nd fraction, since 5 × 21 = 105,
    49/5 = 49 × 21/5 × 21 = 1029/105
  4. Add the two like fractions:
    420/105 + 1029/105 = 420 + 1029/105 = 1449/105
  5. 1449/105 simplified gives 69/5
  6. So, 84/21 + 49/5 = 69/5
    In mixed form: 134/5

MathStep (Works offline)

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

Related:

© everydaycalculation.com