What is 10/3 minus 5/9?

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

How to subtract 10/3 by 5/9?

10 3 − 5 9 = (10 × 9) − (5 × 3) 3 × 9 = 75 27 = 25 9
  1. Multiply the numerator of the first term, with the denominator of the second term: 10 × 9 = 90
  2. Multiply the numerator of the second term, with the denominator of the first term: 5 × 3 = 15
  3. Subtract both of these results together to form the new numerator: 90 − 15 = 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 subtracting 10/3 and 5/9 is : 25/9 (or 2.7777777777778 in its decimal form)