Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 30/28 and 40/27

1st number: 1 2/28, 2nd number: 1 13/27

30/28 + 40/27 is 965/378.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 28 and 27 is 756

    Next, find the equivalent fraction of both fractional numbers with denominator 756
  2. For the 1st fraction, since 28 × 27 = 756,
    30/28 = 30 × 27/28 × 27 = 810/756
  3. Likewise, for the 2nd fraction, since 27 × 28 = 756,
    40/27 = 40 × 28/27 × 28 = 1120/756
  4. Add the two like fractions:
    810/756 + 1120/756 = 810 + 1120/756 = 1930/756
  5. 1930/756 simplified gives 965/378
  6. So, 30/28 + 40/27 = 965/378
    In mixed form: 2209/378

MathStep (Works offline)

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

Related:

© everydaycalculation.com