What is 5/7 divided by 5/8?

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

How to divide 5/7 by 5/8?

5 7 ÷ 5 8 = 5 × 8 7 × 5 = 40 35 = 8 7
  1. Invert the divisor (5/8) to get its reciprocal: 8/5
  2. Multiply the dividend by this reciprocal : 5/7 × 8/5 = (5 × 8)/(7 × 5) = 40/35.
  3. Simplify the fraction (40/35) by dividing both the numerator and the denominator by their GCD(5):
    • 40/5 = 8
    • 35/5 = 7
  4. This gives 8/7.
  5. Since 8/7 is an improper fraction, it could also be written as 1 1 7 .

The result of dividing 5/7 by 5/8 is : 8/7 (or 1.1428571428571 in its decimal form)