Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 30/45 and 40/75

30/45 + 40/75 is 6/5.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 75 is 225

    Next, find the equivalent fraction of both fractional numbers with denominator 225
  2. For the 1st fraction, since 45 × 5 = 225,
    30/45 = 30 × 5/45 × 5 = 150/225
  3. Likewise, for the 2nd fraction, since 75 × 3 = 225,
    40/75 = 40 × 3/75 × 3 = 120/225
  4. Add the two like fractions:
    150/225 + 120/225 = 150 + 120/225 = 270/225
  5. 270/225 simplified gives 6/5
  6. So, 30/45 + 40/75 = 6/5
    In mixed form: 11/5

MathStep (Works offline)

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

Related:

© everydaycalculation.com