What is 2/10 divided by 4/9?

Looking for the result of 2/10 ÷ 4/9? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 2/10 by 4/9?

2 10 ÷ 4 9 = 2 × 9 10 × 4 = 18 40 = 9 20
  1. Invert the divisor (4/9) to get its reciprocal: 9/4
  2. Multiply the dividend by this reciprocal : 2/10 × 9/4 = (2 × 9)/(10 × 4) = 18/40.
  3. Simplify the fraction (18/40) by dividing both the numerator and the denominator by their GCD(2):
    • 18/2 = 9
    • 40/2 = 20
  4. This gives 9/20.

The result of dividing 2/10 by 4/9 is : 9/20 (or 0.45 in its decimal form)