What is 10/9 minus 5/3?

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

How to subtract 10/9 by 5/3?

10 9 − 5 3 = (10 × 3) − (5 × 9) 9 × 3 = -15 27 = -5 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. Subtract both of these results together to form the new numerator: 30 − 45 = -15
  4. Multiply both denominators together to form the new denominator: 9 × 3 = 27
  5. Combine the results to get the new fraction: -15/27
  6. Simplify the fraction (-15/27) by dividing both the numerator and the denominator by their GCD (3):
    • -15/3 = -5
    • 27/3 = 9
  7. This gives: -5/9.

The result of subtracting 10/9 and 5/3 is : -5/9 (or -0.55555555555556 in its decimal form)