Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 16/28 and 21/45

16/28 + 21/45 is 109/105.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 28 and 45 is 1260

    Next, find the equivalent fraction of both fractional numbers with denominator 1260
  2. For the 1st fraction, since 28 × 45 = 1260,
    16/28 = 16 × 45/28 × 45 = 720/1260
  3. Likewise, for the 2nd fraction, since 45 × 28 = 1260,
    21/45 = 21 × 28/45 × 28 = 588/1260
  4. Add the two like fractions:
    720/1260 + 588/1260 = 720 + 588/1260 = 1308/1260
  5. 1308/1260 simplified gives 109/105
  6. So, 16/28 + 21/45 = 109/105
    In mixed form: 14/105

MathStep (Works offline)

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

Related:

© everydaycalculation.com