Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 28/42 and 20/45

28/42 + 20/45 is 10/9.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 45 is 630

    Next, find the equivalent fraction of both fractional numbers with denominator 630
  2. For the 1st fraction, since 42 × 15 = 630,
    28/42 = 28 × 15/42 × 15 = 420/630
  3. Likewise, for the 2nd fraction, since 45 × 14 = 630,
    20/45 = 20 × 14/45 × 14 = 280/630
  4. Add the two like fractions:
    420/630 + 280/630 = 420 + 280/630 = 700/630
  5. 700/630 simplified gives 10/9
  6. So, 28/42 + 20/45 = 10/9
    In mixed form: 11/9

MathStep (Works offline)

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

Related:

© everydaycalculation.com