Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 42/5 and 2/84

1st number: 8 2/5, 2nd number: 2/84

42/5 + 2/84 is 1769/210.

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,
    42/5 = 42 × 84/5 × 84 = 3528/420
  3. Likewise, for the 2nd fraction, since 84 × 5 = 420,
    2/84 = 2 × 5/84 × 5 = 10/420
  4. Add the two like fractions:
    3528/420 + 10/420 = 3528 + 10/420 = 3538/420
  5. 3538/420 simplified gives 1769/210
  6. So, 42/5 + 2/84 = 1769/210
    In mixed form: 889/210

MathStep (Works offline)

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

Related:

© everydaycalculation.com