Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 40/75 and 84/27

1st number: 40/75, 2nd number: 3 3/27

40/75 + 84/27 is 164/45.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 27 is 675

    Next, find the equivalent fraction of both fractional numbers with denominator 675
  2. For the 1st fraction, since 75 × 9 = 675,
    40/75 = 40 × 9/75 × 9 = 360/675
  3. Likewise, for the 2nd fraction, since 27 × 25 = 675,
    84/27 = 84 × 25/27 × 25 = 2100/675
  4. Add the two like fractions:
    360/675 + 2100/675 = 360 + 2100/675 = 2460/675
  5. 2460/675 simplified gives 164/45
  6. So, 40/75 + 84/27 = 164/45
    In mixed form: 329/45

MathStep (Works offline)

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

Related:

© everydaycalculation.com