Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 40/28 and 14/9

1st number: 1 12/28, 2nd number: 1 5/9

40/28 + 14/9 is 188/63.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 28 and 9 is 252

    Next, find the equivalent fraction of both fractional numbers with denominator 252
  2. For the 1st fraction, since 28 × 9 = 252,
    40/28 = 40 × 9/28 × 9 = 360/252
  3. Likewise, for the 2nd fraction, since 9 × 28 = 252,
    14/9 = 14 × 28/9 × 28 = 392/252
  4. Add the two like fractions:
    360/252 + 392/252 = 360 + 392/252 = 752/252
  5. 752/252 simplified gives 188/63
  6. So, 40/28 + 14/9 = 188/63
    In mixed form: 262/63

MathStep (Works offline)

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

Related:

© everydaycalculation.com