Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 98/84 and 54/75

1st number: 1 14/84, 2nd number: 54/75

98/84 + 54/75 is 283/150.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 2100
  2. For the 1st fraction, since 84 × 25 = 2100,
    98/84 = 98 × 25/84 × 25 = 2450/2100
  3. Likewise, for the 2nd fraction, since 75 × 28 = 2100,
    54/75 = 54 × 28/75 × 28 = 1512/2100
  4. Add the two like fractions:
    2450/2100 + 1512/2100 = 2450 + 1512/2100 = 3962/2100
  5. 3962/2100 simplified gives 283/150
  6. So, 98/84 + 54/75 = 283/150
    In mixed form: 1133/150

MathStep (Works offline)

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

Related:

© everydaycalculation.com