What is 6/4 divided by 4/9?

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

How to divide 6/4 by 4/9?

6 4 ÷ 4 9 = 6 × 9 4 × 4 = 54 16 = 27 8
  1. Invert the divisor (4/9) to get its reciprocal: 9/4
  2. Multiply the dividend by this reciprocal : 6/4 × 9/4 = (6 × 9)/(4 × 4) = 54/16.
  3. Simplify the fraction (54/16) by dividing both the numerator and the denominator by their GCD(2):
    • 54/2 = 27
    • 16/2 = 8
  4. This gives 27/8.
  5. Since 27/8 is an improper fraction, it could also be written as 3 3 8 .

The result of dividing 6/4 by 4/9 is : 27/8 (or 3.375 in its decimal form)