Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 27/45 and 54/84

27/45 + 54/84 is 87/70.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 84 is 1260

    Next, find the equivalent fraction of both fractional numbers with denominator 1260
  2. For the 1st fraction, since 45 × 28 = 1260,
    27/45 = 27 × 28/45 × 28 = 756/1260
  3. Likewise, for the 2nd fraction, since 84 × 15 = 1260,
    54/84 = 54 × 15/84 × 15 = 810/1260
  4. Add the two like fractions:
    756/1260 + 810/1260 = 756 + 810/1260 = 1566/1260
  5. 1566/1260 simplified gives 87/70
  6. So, 27/45 + 54/84 = 87/70
    In mixed form: 117/70

MathStep (Works offline)

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

Related:

© everydaycalculation.com