Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 75/4 and 40/35

1st number: 18 3/4, 2nd number: 1 5/35

75/4 + 40/35 is 557/28.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 4 and 35 is 140

    Next, find the equivalent fraction of both fractional numbers with denominator 140
  2. For the 1st fraction, since 4 × 35 = 140,
    75/4 = 75 × 35/4 × 35 = 2625/140
  3. Likewise, for the 2nd fraction, since 35 × 4 = 140,
    40/35 = 40 × 4/35 × 4 = 160/140
  4. Add the two like fractions:
    2625/140 + 160/140 = 2625 + 160/140 = 2785/140
  5. 2785/140 simplified gives 557/28
  6. So, 75/4 + 40/35 = 557/28
    In mixed form: 1925/28

MathStep (Works offline)

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

Related:

© everydaycalculation.com