What is 6/5 divided by 9/4?

Looking for the result of 6/5 ÷ 9/4? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 6/5 by 9/4?

6 5 ÷ 9 4 = 6 × 4 5 × 9 = 24 45 = 8 15
  1. Invert the divisor (9/4) to get its reciprocal: 4/9
  2. Multiply the dividend by this reciprocal : 6/5 × 4/9 = (6 × 4)/(5 × 9) = 24/45.
  3. Simplify the fraction (24/45) by dividing both the numerator and the denominator by their GCD(3):
    • 24/3 = 8
    • 45/3 = 15
  4. This gives 8/15.

The result of dividing 6/5 by 9/4 is : 8/15 (or 0.53333333333333 in its decimal form)