Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 45/12 and 27/16

1st number: 3 9/12, 2nd number: 1 11/16

45/12 + 27/16 is 87/16.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 12 and 16 is 48

    Next, find the equivalent fraction of both fractional numbers with denominator 48
  2. For the 1st fraction, since 12 × 4 = 48,
    45/12 = 45 × 4/12 × 4 = 180/48
  3. Likewise, for the 2nd fraction, since 16 × 3 = 48,
    27/16 = 27 × 3/16 × 3 = 81/48
  4. Add the two like fractions:
    180/48 + 81/48 = 180 + 81/48 = 261/48
  5. 261/48 simplified gives 87/16
  6. So, 45/12 + 27/16 = 87/16
    In mixed form: 57/16

MathStep (Works offline)

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

Related:

© everydaycalculation.com