Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 30/21 and 9/4

1st number: 1 9/21, 2nd number: 2 1/4

30/21 + 9/4 is 103/28.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 21 and 4 is 84

    Next, find the equivalent fraction of both fractional numbers with denominator 84
  2. For the 1st fraction, since 21 × 4 = 84,
    30/21 = 30 × 4/21 × 4 = 120/84
  3. Likewise, for the 2nd fraction, since 4 × 21 = 84,
    9/4 = 9 × 21/4 × 21 = 189/84
  4. Add the two like fractions:
    120/84 + 189/84 = 120 + 189/84 = 309/84
  5. 309/84 simplified gives 103/28
  6. So, 30/21 + 9/4 = 103/28
    In mixed form: 319/28

MathStep (Works offline)

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

Related:

© everydaycalculation.com