Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 27/8 and 42/30

1st number: 3 3/8, 2nd number: 1 12/30

27/8 + 42/30 is 191/40.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 8 and 30 is 120

    Next, find the equivalent fraction of both fractional numbers with denominator 120
  2. For the 1st fraction, since 8 × 15 = 120,
    27/8 = 27 × 15/8 × 15 = 405/120
  3. Likewise, for the 2nd fraction, since 30 × 4 = 120,
    42/30 = 42 × 4/30 × 4 = 168/120
  4. Add the two like fractions:
    405/120 + 168/120 = 405 + 168/120 = 573/120
  5. 573/120 simplified gives 191/40
  6. So, 27/8 + 42/30 = 191/40
    In mixed form: 431/40

MathStep (Works offline)

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

Related:

© everydaycalculation.com