Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 49/27 and 4/42

1st number: 1 22/27, 2nd number: 4/42

49/27 + 4/42 is 361/189.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 378
  2. For the 1st fraction, since 27 × 14 = 378,
    49/27 = 49 × 14/27 × 14 = 686/378
  3. Likewise, for the 2nd fraction, since 42 × 9 = 378,
    4/42 = 4 × 9/42 × 9 = 36/378
  4. Add the two like fractions:
    686/378 + 36/378 = 686 + 36/378 = 722/378
  5. 722/378 simplified gives 361/189
  6. So, 49/27 + 4/42 = 361/189
    In mixed form: 1172/189

MathStep (Works offline)

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

Related:

© everydaycalculation.com