What is 5/8 divided by 10/7?

Looking for the result of 5/8 ÷ 10/7? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 5/8 by 10/7?

5 8 ÷ 10 7 = 5 × 7 8 × 10 = 35 80 = 7 16
  1. Invert the divisor (10/7) to get its reciprocal: 7/10
  2. Multiply the dividend by this reciprocal : 5/8 × 7/10 = (5 × 7)/(8 × 10) = 35/80.
  3. Simplify the fraction (35/80) by dividing both the numerator and the denominator by their GCD(5):
    • 35/5 = 7
    • 80/5 = 16
  4. This gives 7/16.

The result of dividing 5/8 by 10/7 is : 7/16 (or 0.4375 in its decimal form)