Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 24/27 and 48/49

24/27 + 48/49 is 824/441.

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,
    24/27 = 24 × 49/27 × 49 = 1176/1323
  3. Likewise, for the 2nd fraction, since 49 × 27 = 1323,
    48/49 = 48 × 27/49 × 27 = 1296/1323
  4. Add the two like fractions:
    1176/1323 + 1296/1323 = 1176 + 1296/1323 = 2472/1323
  5. 2472/1323 simplified gives 824/441
  6. So, 24/27 + 48/49 = 824/441
    In mixed form: 1383/441

MathStep (Works offline)

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

Related:

© everydaycalculation.com