Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 27/49 and 21/27

27/49 + 21/27 is 586/441.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 1323
  2. For the 1st fraction, since 49 × 27 = 1323,
    27/49 = 27 × 27/49 × 27 = 729/1323
  3. Likewise, for the 2nd fraction, since 27 × 49 = 1323,
    21/27 = 21 × 49/27 × 49 = 1029/1323
  4. Add the two like fractions:
    729/1323 + 1029/1323 = 729 + 1029/1323 = 1758/1323
  5. 1758/1323 simplified gives 586/441
  6. So, 27/49 + 21/27 = 586/441
    In mixed form: 1145/441

MathStep (Works offline)

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

Related:

© everydaycalculation.com