Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 40/75 and 54/56

40/75 + 54/56 is 629/420.

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,
    40/75 = 40 × 56/75 × 56 = 2240/4200
  3. Likewise, for the 2nd fraction, since 56 × 75 = 4200,
    54/56 = 54 × 75/56 × 75 = 4050/4200
  4. Add the two like fractions:
    2240/4200 + 4050/4200 = 2240 + 4050/4200 = 6290/4200
  5. 6290/4200 simplified gives 629/420
  6. So, 40/75 + 54/56 = 629/420
    In mixed form: 1209/420

MathStep (Works offline)

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

Related:

© everydaycalculation.com