Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 21/42 and 14/27

21/42 + 14/27 is 55/54.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 27 is 378

    Next, find the equivalent fraction of both fractional numbers with denominator 378
  2. For the 1st fraction, since 42 × 9 = 378,
    21/42 = 21 × 9/42 × 9 = 189/378
  3. Likewise, for the 2nd fraction, since 27 × 14 = 378,
    14/27 = 14 × 14/27 × 14 = 196/378
  4. Add the two like fractions:
    189/378 + 196/378 = 189 + 196/378 = 385/378
  5. 385/378 simplified gives 55/54
  6. So, 21/42 + 14/27 = 55/54
    In mixed form: 11/54

MathStep (Works offline)

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

Related:

© everydaycalculation.com