Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 45/30 and 30/21

1st number: 1 15/30, 2nd number: 1 9/21

45/30 + 30/21 is 41/14.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 30 and 21 is 210

    Next, find the equivalent fraction of both fractional numbers with denominator 210
  2. For the 1st fraction, since 30 × 7 = 210,
    45/30 = 45 × 7/30 × 7 = 315/210
  3. Likewise, for the 2nd fraction, since 21 × 10 = 210,
    30/21 = 30 × 10/21 × 10 = 300/210
  4. Add the two like fractions:
    315/210 + 300/210 = 315 + 300/210 = 615/210
  5. 615/210 simplified gives 41/14
  6. So, 45/30 + 30/21 = 41/14
    In mixed form: 213/14

MathStep (Works offline)

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

Related:

© everydaycalculation.com