Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 3/42 and 84/81

1st number: 3/42, 2nd number: 1 3/81

3/42 + 84/81 is 419/378.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 81 is 1134

    Next, find the equivalent fraction of both fractional numbers with denominator 1134
  2. For the 1st fraction, since 42 × 27 = 1134,
    3/42 = 3 × 27/42 × 27 = 81/1134
  3. Likewise, for the 2nd fraction, since 81 × 14 = 1134,
    84/81 = 84 × 14/81 × 14 = 1176/1134
  4. Add the two like fractions:
    81/1134 + 1176/1134 = 81 + 1176/1134 = 1257/1134
  5. 1257/1134 simplified gives 419/378
  6. So, 3/42 + 84/81 = 419/378
    In mixed form: 141/378

MathStep (Works offline)

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

Related:

© everydaycalculation.com