Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 42/75 and 35/42

42/75 + 35/42 is 209/150.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 42 is 1050

    Next, find the equivalent fraction of both fractional numbers with denominator 1050
  2. For the 1st fraction, since 75 × 14 = 1050,
    42/75 = 42 × 14/75 × 14 = 588/1050
  3. Likewise, for the 2nd fraction, since 42 × 25 = 1050,
    35/42 = 35 × 25/42 × 25 = 875/1050
  4. Add the two like fractions:
    588/1050 + 875/1050 = 588 + 875/1050 = 1463/1050
  5. 1463/1050 simplified gives 209/150
  6. So, 42/75 + 35/42 = 209/150
    In mixed form: 159/150

MathStep (Works offline)

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

Related:

© everydaycalculation.com