Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 35/75 and 5/42

35/75 + 5/42 is 41/70.

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,
    35/75 = 35 × 14/75 × 14 = 490/1050
  3. Likewise, for the 2nd fraction, since 42 × 25 = 1050,
    5/42 = 5 × 25/42 × 25 = 125/1050
  4. Add the two like fractions:
    490/1050 + 125/1050 = 490 + 125/1050 = 615/1050
  5. 615/1050 simplified gives 41/70
  6. So, 35/75 + 5/42 = 41/70

MathStep (Works offline)

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

Related:

© everydaycalculation.com