Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 8/27 and 42/12

1st number: 8/27, 2nd number: 3 6/12

8/27 + 42/12 is 205/54.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 27 and 12 is 108

    Next, find the equivalent fraction of both fractional numbers with denominator 108
  2. For the 1st fraction, since 27 × 4 = 108,
    8/27 = 8 × 4/27 × 4 = 32/108
  3. Likewise, for the 2nd fraction, since 12 × 9 = 108,
    42/12 = 42 × 9/12 × 9 = 378/108
  4. Add the two like fractions:
    32/108 + 378/108 = 32 + 378/108 = 410/108
  5. 410/108 simplified gives 205/54
  6. So, 8/27 + 42/12 = 205/54
    In mixed form: 343/54

MathStep (Works offline)

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

Related:

© everydaycalculation.com