What is 5/3 plus 10/9?

Looking for the result of 5/3 + 10/9? Follow this step-by-step guide to understand how to add these two fractions together.

How to add 5/3 and 10/9?

5 3 + 10 9 = (5 × 9) + (10 × 3) 3 × 9 = 75 27 = 25 9
  1. Multiply the numerator of the first term, with the denominator of the second term: 5 × 9 = 45
  2. Multiply the numerator of the second term, with the denominator of the first term: 10 × 3 = 30
  3. Add both of these results together to form the new numerator: 45 + 30 = 75
  4. Multiply both denominators together to form the new denominator: 3 × 9 = 27
  5. Combine the results to get the new fraction: 75/27
  6. Simplify the fraction (75/27) by dividing both the numerator and the denominator by their GCD (3):
    • 75/3 = 25
    • 27/3 = 9
  7. This gives: 25/9.

The result of adding 5/3 and 10/9 is : 25/9 (or 2.7777777777778 in its decimal form)