What is 5/9 divided by 10/7?

Looking for the result of 5/9 ÷ 10/7? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 5/9 by 10/7?

5 9 ÷ 10 7 = 5 × 7 9 × 10 = 35 90 = 7 18
  1. Invert the divisor (10/7) to get its reciprocal: 7/10
  2. Multiply the dividend by this reciprocal : 5/9 × 7/10 = (5 × 7)/(9 × 10) = 35/90.
  3. Simplify the fraction (35/90) by dividing both the numerator and the denominator by their GCD(5):
    • 35/5 = 7
    • 90/5 = 18
  4. This gives 7/18.

The result of dividing 5/9 by 10/7 is : 7/18 (or 0.38888888888889 in its decimal form)