Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 40/75 and 30/9

1st number: 40/75, 2nd number: 3 3/9

40/75 + 30/9 is 58/15.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 9 is 225

    Next, find the equivalent fraction of both fractional numbers with denominator 225
  2. For the 1st fraction, since 75 × 3 = 225,
    40/75 = 40 × 3/75 × 3 = 120/225
  3. Likewise, for the 2nd fraction, since 9 × 25 = 225,
    30/9 = 30 × 25/9 × 25 = 750/225
  4. Add the two like fractions:
    120/225 + 750/225 = 120 + 750/225 = 870/225
  5. 870/225 simplified gives 58/15
  6. So, 40/75 + 30/9 = 58/15
    In mixed form: 313/15

MathStep (Works offline)

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

Related:

© everydaycalculation.com