Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 40/35 and 75/72

1st number: 1 5/35, 2nd number: 1 3/72

40/35 + 75/72 is 367/168.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 35 and 72 is 2520

    Next, find the equivalent fraction of both fractional numbers with denominator 2520
  2. For the 1st fraction, since 35 × 72 = 2520,
    40/35 = 40 × 72/35 × 72 = 2880/2520
  3. Likewise, for the 2nd fraction, since 72 × 35 = 2520,
    75/72 = 75 × 35/72 × 35 = 2625/2520
  4. Add the two like fractions:
    2880/2520 + 2625/2520 = 2880 + 2625/2520 = 5505/2520
  5. 5505/2520 simplified gives 367/168
  6. So, 40/35 + 75/72 = 367/168
    In mixed form: 231/168

MathStep (Works offline)

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

Related:

© everydaycalculation.com