Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 75/42 and 21/27

1st number: 1 33/42, 2nd number: 21/27

75/42 + 21/27 is 323/126.

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,
    75/42 = 75 × 9/42 × 9 = 675/378
  3. Likewise, for the 2nd fraction, since 27 × 14 = 378,
    21/27 = 21 × 14/27 × 14 = 294/378
  4. Add the two like fractions:
    675/378 + 294/378 = 675 + 294/378 = 969/378
  5. 969/378 simplified gives 323/126
  6. So, 75/42 + 21/27 = 323/126
    In mixed form: 271/126

MathStep (Works offline)

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

Related:

© everydaycalculation.com