What is 1/3 minus 10/9?

Looking for the result of 1/3 - 10/9? Follow this step-by-step guide to understand how to subtract these two fractions.

How to subtract 1/3 by 10/9?

1 3 − 10 9 = (1 × 9) − (10 × 3) 3 × 9 = -21 27 = -7 9
  1. Multiply the numerator of the first term, with the denominator of the second term: 1 × 9 = 9
  2. Multiply the numerator of the second term, with the denominator of the first term: 10 × 3 = 30
  3. Subtract both of these results together to form the new numerator: 9 − 30 = -21
  4. Multiply both denominators together to form the new denominator: 3 × 9 = 27
  5. Combine the results to get the new fraction: -21/27
  6. Simplify the fraction (-21/27) by dividing both the numerator and the denominator by their GCD (3):
    • -21/3 = -7
    • 27/3 = 9
  7. This gives: -7/9.

The result of subtracting 1/3 and 10/9 is : -7/9 (or -0.77777777777778 in its decimal form)