Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 27/12 and 45/75

1st number: 2 3/12, 2nd number: 45/75

27/12 + 45/75 is 57/20.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 12 and 75 is 300

    Next, find the equivalent fraction of both fractional numbers with denominator 300
  2. For the 1st fraction, since 12 × 25 = 300,
    27/12 = 27 × 25/12 × 25 = 675/300
  3. Likewise, for the 2nd fraction, since 75 × 4 = 300,
    45/75 = 45 × 4/75 × 4 = 180/300
  4. Add the two like fractions:
    675/300 + 180/300 = 675 + 180/300 = 855/300
  5. 855/300 simplified gives 57/20
  6. So, 27/12 + 45/75 = 57/20
    In mixed form: 217/20

MathStep (Works offline)

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

Related:

© everydaycalculation.com