What is 2/5 divided by 9/5?

Looking for the result of 2/5 ÷ 9/5? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 2/5 by 9/5?

2 5 ÷ 9 5 = 2 × 5 5 × 9 = 10 45 = 2 9
  1. Invert the divisor (9/5) to get its reciprocal: 5/9
  2. Multiply the dividend by this reciprocal : 2/5 × 5/9 = (2 × 5)/(5 × 9) = 10/45.
  3. Simplify the fraction (10/45) by dividing both the numerator and the denominator by their GCD(5):
    • 10/5 = 2
    • 45/5 = 9
  4. This gives 2/9.

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