What is 10/7 divided by 5/9?

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

How to divide 10/7 by 5/9?

10 7 ÷ 5 9 = 10 × 9 7 × 5 = 90 35 = 18 7
  1. Invert the divisor (5/9) to get its reciprocal: 9/5
  2. Multiply the dividend by this reciprocal : 10/7 × 9/5 = (10 × 9)/(7 × 5) = 90/35.
  3. Simplify the fraction (90/35) by dividing both the numerator and the denominator by their GCD(5):
    • 90/5 = 18
    • 35/5 = 7
  4. This gives 18/7.
  5. Since 18/7 is an improper fraction, it could also be written as 2 4 7 .

The result of dividing 10/7 by 5/9 is : 18/7 (or 2.5714285714286 in its decimal form)