What is 10/3 minus 4/9?

Looking for the result of 10/3 - 4/9? Follow this step-by-step guide to understand how to subtract these two fractions.

How to subtract 10/3 by 4/9?

10 3 − 4 9 = (10 × 9) − (4 × 3) 3 × 9 = 78 27 = 26 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: 4 × 3 = 12
  3. Subtract both of these results together to form the new numerator: 90 − 12 = 78
  4. Multiply both denominators together to form the new denominator: 3 × 9 = 27
  5. Combine the results to get the new fraction: 78/27
  6. Simplify the fraction (78/27) by dividing both the numerator and the denominator by their GCD (3):
    • 78/3 = 26
    • 27/3 = 9
  7. This gives: 26/9.

The result of subtracting 10/3 and 4/9 is : 26/9 (or 2.8888888888889 in its decimal form)