What is 9/4 divided by 2/6?

Looking for the result of 9/4 ÷ 2/6? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 9/4 by 2/6?

9 4 ÷ 2 6 = 9 × 6 4 × 2 = 54 8 = 27 4
  1. Invert the divisor (2/6) to get its reciprocal: 6/2
  2. Multiply the dividend by this reciprocal : 9/4 × 6/2 = (9 × 6)/(4 × 2) = 54/8.
  3. Simplify the fraction (54/8) by dividing both the numerator and the denominator by their GCD(2):
    • 54/2 = 27
    • 8/2 = 4
  4. This gives 27/4.
  5. Since 27/4 is an improper fraction, it could also be written as 6 3 4 .

The result of dividing 9/4 by 2/6 is : 27/4 (or 6.75 in its decimal form)