Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 21/14 and 49/75

1st number: 1 7/14, 2nd number: 49/75

21/14 + 49/75 is 323/150.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 14 and 75 is 1050

    Next, find the equivalent fraction of both fractional numbers with denominator 1050
  2. For the 1st fraction, since 14 × 75 = 1050,
    21/14 = 21 × 75/14 × 75 = 1575/1050
  3. Likewise, for the 2nd fraction, since 75 × 14 = 1050,
    49/75 = 49 × 14/75 × 14 = 686/1050
  4. Add the two like fractions:
    1575/1050 + 686/1050 = 1575 + 686/1050 = 2261/1050
  5. 2261/1050 simplified gives 323/150
  6. So, 21/14 + 49/75 = 323/150
    In mixed form: 223/150

MathStep (Works offline)

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

Related:

© everydaycalculation.com