Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 27/30 and 30/14

1st number: 27/30, 2nd number: 2 2/14

27/30 + 30/14 is 213/70.

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,
    27/30 = 27 × 7/30 × 7 = 189/210
  3. Likewise, for the 2nd fraction, since 14 × 15 = 210,
    30/14 = 30 × 15/14 × 15 = 450/210
  4. Add the two like fractions:
    189/210 + 450/210 = 189 + 450/210 = 639/210
  5. 639/210 simplified gives 213/70
  6. So, 27/30 + 30/14 = 213/70
    In mixed form: 33/70

MathStep (Works offline)

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

Related:

© everydaycalculation.com