Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 35/4 and 75/9

1st number: 8 3/4, 2nd number: 8 3/9

35/4 + 75/9 is 205/12.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 4 and 9 is 36

    Next, find the equivalent fraction of both fractional numbers with denominator 36
  2. For the 1st fraction, since 4 × 9 = 36,
    35/4 = 35 × 9/4 × 9 = 315/36
  3. Likewise, for the 2nd fraction, since 9 × 4 = 36,
    75/9 = 75 × 4/9 × 4 = 300/36
  4. Add the two like fractions:
    315/36 + 300/36 = 315 + 300/36 = 615/36
  5. 615/36 simplified gives 205/12
  6. So, 35/4 + 75/9 = 205/12
    In mixed form: 171/12

MathStep (Works offline)

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

Related:

© everydaycalculation.com