Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 30/75 and 28/42

30/75 + 28/42 is 16/15.

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,
    30/75 = 30 × 14/75 × 14 = 420/1050
  3. Likewise, for the 2nd fraction, since 42 × 25 = 1050,
    28/42 = 28 × 25/42 × 25 = 700/1050
  4. Add the two like fractions:
    420/1050 + 700/1050 = 420 + 700/1050 = 1120/1050
  5. 1120/1050 simplified gives 16/15
  6. So, 30/75 + 28/42 = 16/15
    In mixed form: 11/15

MathStep (Works offline)

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

Related:

© everydaycalculation.com