Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 98/75 and 49/42

1st number: 1 23/75, 2nd number: 1 7/42

98/75 + 49/42 is 371/150.

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,
    98/75 = 98 × 14/75 × 14 = 1372/1050
  3. Likewise, for the 2nd fraction, since 42 × 25 = 1050,
    49/42 = 49 × 25/42 × 25 = 1225/1050
  4. Add the two like fractions:
    1372/1050 + 1225/1050 = 1372 + 1225/1050 = 2597/1050
  5. 2597/1050 simplified gives 371/150
  6. So, 98/75 + 49/42 = 371/150
    In mixed form: 271/150

MathStep (Works offline)

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

Related:

© everydaycalculation.com