Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 40/56 and 98/75

1st number: 40/56, 2nd number: 1 23/75

40/56 + 98/75 is 1061/525.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 56 and 75 is 4200

    Next, find the equivalent fraction of both fractional numbers with denominator 4200
  2. For the 1st fraction, since 56 × 75 = 4200,
    40/56 = 40 × 75/56 × 75 = 3000/4200
  3. Likewise, for the 2nd fraction, since 75 × 56 = 4200,
    98/75 = 98 × 56/75 × 56 = 5488/4200
  4. Add the two like fractions:
    3000/4200 + 5488/4200 = 3000 + 5488/4200 = 8488/4200
  5. 8488/4200 simplified gives 1061/525
  6. So, 40/56 + 98/75 = 1061/525
    In mixed form: 211/525

MathStep (Works offline)

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

Related:

© everydaycalculation.com