What is 6 divided by 9/4?

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

How to divide 6 by 9/4?

6 1 ÷ 9 4 = 6 × 4 1 × 9 = 24 9 = 8 3
  1. Invert the divisor (9/4) to get its reciprocal: 4/9
  2. Multiply the dividend by this reciprocal : 6/1 × 4/9 = (6 × 4)/(1 × 9) = 24/9.
  3. Simplify the fraction (24/9) by dividing both the numerator and the denominator by their GCD(3):
    • 24/3 = 8
    • 9/3 = 3
  4. This gives 8/3.
  5. Since 8/3 is an improper fraction, it could also be written as 2 2 3 .

The result of dividing 6/1 by 9/4 is : 8/3 (or 2.6666666666667 in its decimal form)