What is 5/9 minus 10/3?

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

How to subtract 5/9 by 10/3?

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