What is 4/10 divided by 2/9?

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

How to divide 4/10 by 2/9?

4 10 ÷ 2 9 = 4 × 9 10 × 2 = 36 20 = 9 5
  1. Invert the divisor (2/9) to get its reciprocal: 9/2
  2. Multiply the dividend by this reciprocal : 4/10 × 9/2 = (4 × 9)/(10 × 2) = 36/20.
  3. Simplify the fraction (36/20) by dividing both the numerator and the denominator by their GCD(4):
    • 36/4 = 9
    • 20/4 = 5
  4. This gives 9/5.
  5. Since 9/5 is an improper fraction, it could also be written as 1 4 5 .

The result of dividing 4/10 by 2/9 is : 9/5 (or 1.8 in its decimal form)