Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 20/27 and 63/49

1st number: 20/27, 2nd number: 1 14/49

20/27 + 63/49 is 383/189.

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,
    20/27 = 20 × 49/27 × 49 = 980/1323
  3. Likewise, for the 2nd fraction, since 49 × 27 = 1323,
    63/49 = 63 × 27/49 × 27 = 1701/1323
  4. Add the two like fractions:
    980/1323 + 1701/1323 = 980 + 1701/1323 = 2681/1323
  5. 2681/1323 simplified gives 383/189
  6. So, 20/27 + 63/49 = 383/189
    In mixed form: 25/189

MathStep (Works offline)

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

Related:

© everydaycalculation.com