Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 42/75 and 21/16

1st number: 42/75, 2nd number: 1 5/16

42/75 + 21/16 is 749/400.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 16 is 1200

    Next, find the equivalent fraction of both fractional numbers with denominator 1200
  2. For the 1st fraction, since 75 × 16 = 1200,
    42/75 = 42 × 16/75 × 16 = 672/1200
  3. Likewise, for the 2nd fraction, since 16 × 75 = 1200,
    21/16 = 21 × 75/16 × 75 = 1575/1200
  4. Add the two like fractions:
    672/1200 + 1575/1200 = 672 + 1575/1200 = 2247/1200
  5. 2247/1200 simplified gives 749/400
  6. So, 42/75 + 21/16 = 749/400
    In mixed form: 1349/400

MathStep (Works offline)

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

Related:

© everydaycalculation.com