Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 75/40 and 27/32

1st number: 1 35/40, 2nd number: 27/32

75/40 + 27/32 is 87/32.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 32 is 160

    Next, find the equivalent fraction of both fractional numbers with denominator 160
  2. For the 1st fraction, since 40 × 4 = 160,
    75/40 = 75 × 4/40 × 4 = 300/160
  3. Likewise, for the 2nd fraction, since 32 × 5 = 160,
    27/32 = 27 × 5/32 × 5 = 135/160
  4. Add the two like fractions:
    300/160 + 135/160 = 300 + 135/160 = 435/160
  5. 435/160 simplified gives 87/32
  6. So, 75/40 + 27/32 = 87/32
    In mixed form: 223/32

MathStep (Works offline)

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

Related:

© everydaycalculation.com