Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 27/42 and 45/20

1st number: 27/42, 2nd number: 2 5/20

27/42 + 45/20 is 81/28.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 20 is 420

    Next, find the equivalent fraction of both fractional numbers with denominator 420
  2. For the 1st fraction, since 42 × 10 = 420,
    27/42 = 27 × 10/42 × 10 = 270/420
  3. Likewise, for the 2nd fraction, since 20 × 21 = 420,
    45/20 = 45 × 21/20 × 21 = 945/420
  4. Add the two like fractions:
    270/420 + 945/420 = 270 + 945/420 = 1215/420
  5. 1215/420 simplified gives 81/28
  6. So, 27/42 + 45/20 = 81/28
    In mixed form: 225/28

MathStep (Works offline)

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

Related:

© everydaycalculation.com