What is 1/6 divided by 4/9?

Looking for the result of 1/6 ÷ 4/9? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 1/6 by 4/9?

1 6 ÷ 4 9 = 1 × 9 6 × 4 = 9 24 = 3 8
  1. Invert the divisor (4/9) to get its reciprocal: 9/4
  2. Multiply the dividend by this reciprocal : 1/6 × 9/4 = (1 × 9)/(6 × 4) = 9/24.
  3. Simplify the fraction (9/24) by dividing both the numerator and the denominator by their GCD(3):
    • 9/3 = 3
    • 24/3 = 8
  4. This gives 3/8.

The result of dividing 1/6 by 4/9 is : 3/8 (or 0.375 in its decimal form)