Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 21/5 and 7/84

1st number: 4 1/5, 2nd number: 7/84

21/5 + 7/84 is 257/60.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 5 and 84 is 420

    Next, find the equivalent fraction of both fractional numbers with denominator 420
  2. For the 1st fraction, since 5 × 84 = 420,
    21/5 = 21 × 84/5 × 84 = 1764/420
  3. Likewise, for the 2nd fraction, since 84 × 5 = 420,
    7/84 = 7 × 5/84 × 5 = 35/420
  4. Add the two like fractions:
    1764/420 + 35/420 = 1764 + 35/420 = 1799/420
  5. 1799/420 simplified gives 257/60
  6. So, 21/5 + 7/84 = 257/60
    In mixed form: 417/60

MathStep (Works offline)

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

Related:

© everydaycalculation.com