What is 6/4 divided by 8/9?

Looking for the result of 6/4 ÷ 8/9? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 6/4 by 8/9?

6 4 ÷ 8 9 = 6 × 9 4 × 8 = 54 32 = 27 16
  1. Invert the divisor (8/9) to get its reciprocal: 9/8
  2. Multiply the dividend by this reciprocal : 6/4 × 9/8 = (6 × 9)/(4 × 8) = 54/32.
  3. Simplify the fraction (54/32) by dividing both the numerator and the denominator by their GCD(2):
    • 54/2 = 27
    • 32/2 = 16
  4. This gives 27/16.
  5. Since 27/16 is an improper fraction, it could also be written as 1 11 16 .

The result of dividing 6/4 by 8/9 is : 27/16 (or 1.6875 in its decimal form)