Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 6/14 and 40/49

6/14 + 40/49 is 61/49.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 14 and 49 is 98

    Next, find the equivalent fraction of both fractional numbers with denominator 98
  2. For the 1st fraction, since 14 × 7 = 98,
    6/14 = 6 × 7/14 × 7 = 42/98
  3. Likewise, for the 2nd fraction, since 49 × 2 = 98,
    40/49 = 40 × 2/49 × 2 = 80/98
  4. Add the two like fractions:
    42/98 + 80/98 = 42 + 80/98 = 122/98
  5. 122/98 simplified gives 61/49
  6. So, 6/14 + 40/49 = 61/49
    In mixed form: 112/49

MathStep (Works offline)

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

Related:

© everydaycalculation.com