Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 30/6 and 75/27

1st number: 5 0/6, 2nd number: 2 21/27

30/6 + 75/27 is 70/9.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 6 and 27 is 54

    Next, find the equivalent fraction of both fractional numbers with denominator 54
  2. For the 1st fraction, since 6 × 9 = 54,
    30/6 = 30 × 9/6 × 9 = 270/54
  3. Likewise, for the 2nd fraction, since 27 × 2 = 54,
    75/27 = 75 × 2/27 × 2 = 150/54
  4. Add the two like fractions:
    270/54 + 150/54 = 270 + 150/54 = 420/54
  5. 420/54 simplified gives 70/9
  6. So, 30/6 + 75/27 = 70/9
    In mixed form: 77/9

MathStep (Works offline)

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

Related:

© everydaycalculation.com