Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 21/84 and 63/45

1st number: 21/84, 2nd number: 1 18/45

21/84 + 63/45 is 33/20.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 45 is 1260

    Next, find the equivalent fraction of both fractional numbers with denominator 1260
  2. For the 1st fraction, since 84 × 15 = 1260,
    21/84 = 21 × 15/84 × 15 = 315/1260
  3. Likewise, for the 2nd fraction, since 45 × 28 = 1260,
    63/45 = 63 × 28/45 × 28 = 1764/1260
  4. Add the two like fractions:
    315/1260 + 1764/1260 = 315 + 1764/1260 = 2079/1260
  5. 2079/1260 simplified gives 33/20
  6. So, 21/84 + 63/45 = 33/20
    In mixed form: 113/20

MathStep (Works offline)

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

Related:

© everydaycalculation.com