Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 84/27 and 21/40

1st number: 3 3/27, 2nd number: 21/40

84/27 + 21/40 is 1309/360.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 27 and 40 is 1080

    Next, find the equivalent fraction of both fractional numbers with denominator 1080
  2. For the 1st fraction, since 27 × 40 = 1080,
    84/27 = 84 × 40/27 × 40 = 3360/1080
  3. Likewise, for the 2nd fraction, since 40 × 27 = 1080,
    21/40 = 21 × 27/40 × 27 = 567/1080
  4. Add the two like fractions:
    3360/1080 + 567/1080 = 3360 + 567/1080 = 3927/1080
  5. 3927/1080 simplified gives 1309/360
  6. So, 84/27 + 21/40 = 1309/360
    In mixed form: 3229/360

MathStep (Works offline)

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

Related:

© everydaycalculation.com