Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 28/42 and 30/27

1st number: 28/42, 2nd number: 1 3/27

28/42 + 30/27 is 16/9.

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,
    28/42 = 28 × 9/42 × 9 = 252/378
  3. Likewise, for the 2nd fraction, since 27 × 14 = 378,
    30/27 = 30 × 14/27 × 14 = 420/378
  4. Add the two like fractions:
    252/378 + 420/378 = 252 + 420/378 = 672/378
  5. 672/378 simplified gives 16/9
  6. So, 28/42 + 30/27 = 16/9
    In mixed form: 17/9

MathStep (Works offline)

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

Related:

© everydaycalculation.com