Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 42/27 and 75/42

1st number: 1 15/27, 2nd number: 1 33/42

42/27 + 75/42 is 421/126.

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,
    42/27 = 42 × 14/27 × 14 = 588/378
  3. Likewise, for the 2nd fraction, since 42 × 9 = 378,
    75/42 = 75 × 9/42 × 9 = 675/378
  4. Add the two like fractions:
    588/378 + 675/378 = 588 + 675/378 = 1263/378
  5. 1263/378 simplified gives 421/126
  6. So, 42/27 + 75/42 = 421/126
    In mixed form: 343/126

MathStep (Works offline)

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

Related:

© everydaycalculation.com