Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 27/10 and 75/24

1st number: 2 7/10, 2nd number: 3 3/24

27/10 + 75/24 is 233/40.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 10 and 24 is 120

    Next, find the equivalent fraction of both fractional numbers with denominator 120
  2. For the 1st fraction, since 10 × 12 = 120,
    27/10 = 27 × 12/10 × 12 = 324/120
  3. Likewise, for the 2nd fraction, since 24 × 5 = 120,
    75/24 = 75 × 5/24 × 5 = 375/120
  4. Add the two like fractions:
    324/120 + 375/120 = 324 + 375/120 = 699/120
  5. 699/120 simplified gives 233/40
  6. So, 27/10 + 75/24 = 233/40
    In mixed form: 533/40

MathStep (Works offline)

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

Related:

© everydaycalculation.com