Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 56/49 and 75/40

1st number: 1 7/49, 2nd number: 1 35/40

56/49 + 75/40 is 169/56.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 49 and 40 is 1960

    Next, find the equivalent fraction of both fractional numbers with denominator 1960
  2. For the 1st fraction, since 49 × 40 = 1960,
    56/49 = 56 × 40/49 × 40 = 2240/1960
  3. Likewise, for the 2nd fraction, since 40 × 49 = 1960,
    75/40 = 75 × 49/40 × 49 = 3675/1960
  4. Add the two like fractions:
    2240/1960 + 3675/1960 = 2240 + 3675/1960 = 5915/1960
  5. 5915/1960 simplified gives 169/56
  6. So, 56/49 + 75/40 = 169/56
    In mixed form: 31/56

MathStep (Works offline)

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

Related:

© everydaycalculation.com