Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 7/27 and 42/49

7/27 + 42/49 is 211/189.

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,
    7/27 = 7 × 49/27 × 49 = 343/1323
  3. Likewise, for the 2nd fraction, since 49 × 27 = 1323,
    42/49 = 42 × 27/49 × 27 = 1134/1323
  4. Add the two like fractions:
    343/1323 + 1134/1323 = 343 + 1134/1323 = 1477/1323
  5. 1477/1323 simplified gives 211/189
  6. So, 7/27 + 42/49 = 211/189
    In mixed form: 122/189

MathStep (Works offline)

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

Related:

© everydaycalculation.com