Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 40/56 and 75/90

40/56 + 75/90 is 65/42.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 56 and 90 is 2520

    Next, find the equivalent fraction of both fractional numbers with denominator 2520
  2. For the 1st fraction, since 56 × 45 = 2520,
    40/56 = 40 × 45/56 × 45 = 1800/2520
  3. Likewise, for the 2nd fraction, since 90 × 28 = 2520,
    75/90 = 75 × 28/90 × 28 = 2100/2520
  4. Add the two like fractions:
    1800/2520 + 2100/2520 = 1800 + 2100/2520 = 3900/2520
  5. 3900/2520 simplified gives 65/42
  6. So, 40/56 + 75/90 = 65/42
    In mixed form: 123/42

MathStep (Works offline)

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

Related:

© everydaycalculation.com