Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 14/28 and 98/75

1st number: 14/28, 2nd number: 1 23/75

14/28 + 98/75 is 271/150.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 28 and 75 is 2100

    Next, find the equivalent fraction of both fractional numbers with denominator 2100
  2. For the 1st fraction, since 28 × 75 = 2100,
    14/28 = 14 × 75/28 × 75 = 1050/2100
  3. Likewise, for the 2nd fraction, since 75 × 28 = 2100,
    98/75 = 98 × 28/75 × 28 = 2744/2100
  4. Add the two like fractions:
    1050/2100 + 2744/2100 = 1050 + 2744/2100 = 3794/2100
  5. 3794/2100 simplified gives 271/150
  6. So, 14/28 + 98/75 = 271/150
    In mixed form: 1121/150

MathStep (Works offline)

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

Related:

© everydaycalculation.com