Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 96/75 and 40/56

1st number: 1 21/75, 2nd number: 40/56

96/75 + 40/56 is 349/175.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 4200
  2. For the 1st fraction, since 75 × 56 = 4200,
    96/75 = 96 × 56/75 × 56 = 5376/4200
  3. Likewise, for the 2nd fraction, since 56 × 75 = 4200,
    40/56 = 40 × 75/56 × 75 = 3000/4200
  4. Add the two like fractions:
    5376/4200 + 3000/4200 = 5376 + 3000/4200 = 8376/4200
  5. 8376/4200 simplified gives 349/175
  6. So, 96/75 + 40/56 = 349/175
    In mixed form: 1174/175

MathStep (Works offline)

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

Related:

© everydaycalculation.com