What is 4/7 minus 10/5?

Looking for the result of 4/7 - 10/5? Follow this step-by-step guide to understand how to subtract these two fractions.

How to subtract 4/7 by 10/5?

4 7 − 10 5 = (4 × 5) − (10 × 7) 7 × 5 = -50 35 = -10 7
  1. Multiply the numerator of the first term, with the denominator of the second term: 4 × 5 = 20
  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: 20 − 70 = -50
  4. Multiply both denominators together to form the new denominator: 7 × 5 = 35
  5. Combine the results to get the new fraction: -50/35
  6. Simplify the fraction (-50/35) by dividing both the numerator and the denominator by their GCD (5):
    • -50/5 = -10
    • 35/5 = 7
  7. This gives: -10/7.

The result of subtracting 4/7 and 10/5 is : -10/7 (or -1.4285714285714 in its decimal form)