Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 49/20 and 10/75

1st number: 2 9/20, 2nd number: 10/75

49/20 + 10/75 is 31/12.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 20 and 75 is 300

    Next, find the equivalent fraction of both fractional numbers with denominator 300
  2. For the 1st fraction, since 20 × 15 = 300,
    49/20 = 49 × 15/20 × 15 = 735/300
  3. Likewise, for the 2nd fraction, since 75 × 4 = 300,
    10/75 = 10 × 4/75 × 4 = 40/300
  4. Add the two like fractions:
    735/300 + 40/300 = 735 + 40/300 = 775/300
  5. 775/300 simplified gives 31/12
  6. So, 49/20 + 10/75 = 31/12
    In mixed form: 27/12

MathStep (Works offline)

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

Related:

© everydaycalculation.com