Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 7/30 and 27/14

1st number: 7/30, 2nd number: 1 13/14

7/30 + 27/14 is 227/105.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 30 and 14 is 210

    Next, find the equivalent fraction of both fractional numbers with denominator 210
  2. For the 1st fraction, since 30 × 7 = 210,
    7/30 = 7 × 7/30 × 7 = 49/210
  3. Likewise, for the 2nd fraction, since 14 × 15 = 210,
    27/14 = 27 × 15/14 × 15 = 405/210
  4. Add the two like fractions:
    49/210 + 405/210 = 49 + 405/210 = 454/210
  5. 454/210 simplified gives 227/105
  6. So, 7/30 + 27/14 = 227/105
    In mixed form: 217/105

MathStep (Works offline)

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

Related:

© everydaycalculation.com