Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 3/4 and 21/14

1st number: 3/4, 2nd number: 1 7/14

3/4 + 21/14 is 9/4.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 4 and 14 is 28

    Next, find the equivalent fraction of both fractional numbers with denominator 28
  2. For the 1st fraction, since 4 × 7 = 28,
    3/4 = 3 × 7/4 × 7 = 21/28
  3. Likewise, for the 2nd fraction, since 14 × 2 = 28,
    21/14 = 21 × 2/14 × 2 = 42/28
  4. Add the two like fractions:
    21/28 + 42/28 = 21 + 42/28 = 63/28
  5. 63/28 simplified gives 9/4
  6. So, 3/4 + 21/14 = 9/4
    In mixed form: 21/4

MathStep (Works offline)

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

Related:

© everydaycalculation.com