What is 5/10 divided by 9/4?

Looking for the result of 5/10 ÷ 9/4? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 5/10 by 9/4?

5 10 ÷ 9 4 = 5 × 4 10 × 9 = 20 90 = 2 9
  1. Invert the divisor (9/4) to get its reciprocal: 4/9
  2. Multiply the dividend by this reciprocal : 5/10 × 4/9 = (5 × 4)/(10 × 9) = 20/90.
  3. Simplify the fraction (20/90) by dividing both the numerator and the denominator by their GCD(10):
    • 20/10 = 2
    • 90/10 = 9
  4. This gives 2/9.

The result of dividing 5/10 by 9/4 is : 2/9 (or 0.22222222222222 in its decimal form)