What is 10/9 plus 5/3?

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

How to add 10/9 and 5/3?

10 9 + 5 3 = (10 × 3) + (5 × 9) 9 × 3 = 75 27 = 25 9
  1. Multiply the numerator of the first term, with the denominator of the second term: 10 × 3 = 30
  2. Multiply the numerator of the second term, with the denominator of the first term: 5 × 9 = 45
  3. Add both of these results together to form the new numerator: 30 + 45 = 75
  4. Multiply both denominators together to form the new denominator: 9 × 3 = 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 10/9 and 5/3 is : 25/9 (or 2.7777777777778 in its decimal form)