Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 27/14 and 18/9

1st number: 1 13/14, 2nd number: 2 0/9

27/14 + 18/9 is 55/14.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 14 and 9 is 126

    Next, find the equivalent fraction of both fractional numbers with denominator 126
  2. For the 1st fraction, since 14 × 9 = 126,
    27/14 = 27 × 9/14 × 9 = 243/126
  3. Likewise, for the 2nd fraction, since 9 × 14 = 126,
    18/9 = 18 × 14/9 × 14 = 252/126
  4. Add the two like fractions:
    243/126 + 252/126 = 243 + 252/126 = 495/126
  5. 495/126 simplified gives 55/14
  6. So, 27/14 + 18/9 = 55/14
    In mixed form: 313/14

MathStep (Works offline)

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

Related:

© everydaycalculation.com