Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 96/75 and 7/84

1st number: 1 21/75, 2nd number: 7/84

96/75 + 7/84 is 409/300.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 84 is 2100

    Next, find the equivalent fraction of both fractional numbers with denominator 2100
  2. For the 1st fraction, since 75 × 28 = 2100,
    96/75 = 96 × 28/75 × 28 = 2688/2100
  3. Likewise, for the 2nd fraction, since 84 × 25 = 2100,
    7/84 = 7 × 25/84 × 25 = 175/2100
  4. Add the two like fractions:
    2688/2100 + 175/2100 = 2688 + 175/2100 = 2863/2100
  5. 2863/2100 simplified gives 409/300
  6. So, 96/75 + 7/84 = 409/300
    In mixed form: 1109/300

MathStep (Works offline)

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

Related:

© everydaycalculation.com