Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 21/30 and 45/21

1st number: 21/30, 2nd number: 2 3/21

21/30 + 45/21 is 199/70.

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,
    21/30 = 21 × 7/30 × 7 = 147/210
  3. Likewise, for the 2nd fraction, since 21 × 10 = 210,
    45/21 = 45 × 10/21 × 10 = 450/210
  4. Add the two like fractions:
    147/210 + 450/210 = 147 + 450/210 = 597/210
  5. 597/210 simplified gives 199/70
  6. So, 21/30 + 45/21 = 199/70
    In mixed form: 259/70

MathStep (Works offline)

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

Related:

© everydaycalculation.com