What is 3/7 minus 10/5?

Looking for the result of 3/7 - 10/5? Follow this step-by-step guide to understand how to subtract these two fractions.

How to subtract 3/7 by 10/5?

3 7 − 10 5 = (3 × 5) − (10 × 7) 7 × 5 = -55 35 = -11 7
  1. Multiply the numerator of the first term, with the denominator of the second term: 3 × 5 = 15
  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: 15 − 70 = -55
  4. Multiply both denominators together to form the new denominator: 7 × 5 = 35
  5. Combine the results to get the new fraction: -55/35
  6. Simplify the fraction (-55/35) by dividing both the numerator and the denominator by their GCD (5):
    • -55/5 = -11
    • 35/5 = 7
  7. This gives: -11/7.

The result of subtracting 3/7 and 10/5 is : -11/7 (or -1.5714285714286 in its decimal form)