Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 84/75 and 42/56

1st number: 1 9/75, 2nd number: 42/56

84/75 + 42/56 is 187/100.

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,
    84/75 = 84 × 56/75 × 56 = 4704/4200
  3. Likewise, for the 2nd fraction, since 56 × 75 = 4200,
    42/56 = 42 × 75/56 × 75 = 3150/4200
  4. Add the two like fractions:
    4704/4200 + 3150/4200 = 4704 + 3150/4200 = 7854/4200
  5. 7854/4200 simplified gives 187/100
  6. So, 84/75 + 42/56 = 187/100
    In mixed form: 187/100

MathStep (Works offline)

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

Related:

© everydaycalculation.com