Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 20/49 and 42/27

1st number: 20/49, 2nd number: 1 15/27

20/49 + 42/27 is 866/441.

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,
    20/49 = 20 × 27/49 × 27 = 540/1323
  3. Likewise, for the 2nd fraction, since 27 × 49 = 1323,
    42/27 = 42 × 49/27 × 49 = 2058/1323
  4. Add the two like fractions:
    540/1323 + 2058/1323 = 540 + 2058/1323 = 2598/1323
  5. 2598/1323 simplified gives 866/441
  6. So, 20/49 + 42/27 = 866/441
    In mixed form: 1425/441

MathStep (Works offline)

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

Related:

© everydaycalculation.com