Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 8/42 and 28/27

1st number: 8/42, 2nd number: 1 1/27

8/42 + 28/27 is 232/189.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 27 is 378

    Next, find the equivalent fraction of both fractional numbers with denominator 378
  2. For the 1st fraction, since 42 × 9 = 378,
    8/42 = 8 × 9/42 × 9 = 72/378
  3. Likewise, for the 2nd fraction, since 27 × 14 = 378,
    28/27 = 28 × 14/27 × 14 = 392/378
  4. Add the two like fractions:
    72/378 + 392/378 = 72 + 392/378 = 464/378
  5. 464/378 simplified gives 232/189
  6. So, 8/42 + 28/27 = 232/189
    In mixed form: 143/189

MathStep (Works offline)

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

Related:

© everydaycalculation.com