Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 35/21 and 45/12

1st number: 1 14/21, 2nd number: 3 9/12

35/21 + 45/12 is 65/12.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 21 and 12 is 84

    Next, find the equivalent fraction of both fractional numbers with denominator 84
  2. For the 1st fraction, since 21 × 4 = 84,
    35/21 = 35 × 4/21 × 4 = 140/84
  3. Likewise, for the 2nd fraction, since 12 × 7 = 84,
    45/12 = 45 × 7/12 × 7 = 315/84
  4. Add the two like fractions:
    140/84 + 315/84 = 140 + 315/84 = 455/84
  5. 455/84 simplified gives 65/12
  6. So, 35/21 + 45/12 = 65/12
    In mixed form: 55/12

MathStep (Works offline)

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

Related:

© everydaycalculation.com