What is 10/7 minus 10/4?

Looking for the result of 10/7 - 10/4? Follow this step-by-step guide to understand how to subtract these two fractions.

How to subtract 10/7 by 10/4?

10 7 − 10 4 = (10 × 4) − (10 × 7) 7 × 4 = -30 28 = -15 14
  1. Multiply the numerator of the first term, with the denominator of the second term: 10 × 4 = 40
  2. Multiply the numerator of the second term, with the denominator of the first term: 10 × 7 = 70
  3. Subtract both of these results together to form the new numerator: 40 − 70 = -30
  4. Multiply both denominators together to form the new denominator: 7 × 4 = 28
  5. Combine the results to get the new fraction: -30/28
  6. Simplify the fraction (-30/28) by dividing both the numerator and the denominator by their GCD (2):
    • -30/2 = -15
    • 28/2 = 14
  7. This gives: -15/14.

The result of subtracting 10/7 and 10/4 is : -15/14 (or -1.0714285714286 in its decimal form)