Answers

Solutions by everydaycalculation.com

Everydaycalculation.com » Answers » Add fractions

Add 30/40 and 40/75

30/40 + 40/75 is 77/60.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 75 is 600
  2. For the 1st fraction, since 40 × 15 = 600,
    30/40 = 30 × 15/40 × 15 = 450/600
  3. Likewise, for the 2nd fraction, since 75 × 8 = 600,
    40/75 = 40 × 8/75 × 8 = 320/600
  4. Add the two fractions:
    450/600 + 320/600 = 450 + 320/600 = 770/600
  5. After reducing the fraction, the answer is 77/60
  6. In mixed form: 117/60

MathStep (Works offline)

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

Related:

© everydaycalculation.com