Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 84/27 and 21/49

1st number: 3 3/27, 2nd number: 21/49

84/27 + 21/49 is 223/63.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 27 and 49 is 1323

    Next, find the equivalent fraction of both fractional numbers with denominator 1323
  2. For the 1st fraction, since 27 × 49 = 1323,
    84/27 = 84 × 49/27 × 49 = 4116/1323
  3. Likewise, for the 2nd fraction, since 49 × 27 = 1323,
    21/49 = 21 × 27/49 × 27 = 567/1323
  4. Add the two like fractions:
    4116/1323 + 567/1323 = 4116 + 567/1323 = 4683/1323
  5. 4683/1323 simplified gives 223/63
  6. So, 84/27 + 21/49 = 223/63
    In mixed form: 334/63

MathStep (Works offline)

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

Related:

© everydaycalculation.com