What is 5/7 divided by 5/9?

Looking for the result of 5/7 ÷ 5/9? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 5/7 by 5/9?

5 7 ÷ 5 9 = 5 × 9 7 × 5 = 45 35 = 9 7
  1. Invert the divisor (5/9) to get its reciprocal: 9/5
  2. Multiply the dividend by this reciprocal : 5/7 × 9/5 = (5 × 9)/(7 × 5) = 45/35.
  3. Simplify the fraction (45/35) by dividing both the numerator and the denominator by their GCD(5):
    • 45/5 = 9
    • 35/5 = 7
  4. This gives 9/7.
  5. Since 9/7 is an improper fraction, it could also be written as 1 2 7 .

The result of dividing 5/7 by 5/9 is : 9/7 (or 1.2857142857143 in its decimal form)