What is 3 divided by 4/6?

Looking for the result of 3 ÷ 4/6? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 3 by 4/6?

3 1 ÷ 4 6 = 3 × 6 1 × 4 = 18 4 = 9 2
  1. Invert the divisor (4/6) to get its reciprocal: 6/4
  2. Multiply the dividend by this reciprocal : 3/1 × 6/4 = (3 × 6)/(1 × 4) = 18/4.
  3. Simplify the fraction (18/4) by dividing both the numerator and the denominator by their GCD(2):
    • 18/2 = 9
    • 4/2 = 2
  4. This gives 9/2.
  5. Since 9/2 is an improper fraction, it could also be written as 4 1 2 .

The result of dividing 3/1 by 4/6 is : 9/2 (or 4.5 in its decimal form)