What is 9/8 divided by 3/2?

Looking for the result of 9/8 ÷ 3/2? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 9/8 by 3/2?

9 8 ÷ 3 2 = 9 × 2 8 × 3 = 18 24 = 3 4
  1. Invert the divisor (3/2) to get its reciprocal: 2/3
  2. Multiply the dividend by this reciprocal : 9/8 × 2/3 = (9 × 2)/(8 × 3) = 18/24.
  3. Simplify the fraction (18/24) by dividing both the numerator and the denominator by their GCD(6):
    • 18/6 = 3
    • 24/6 = 4
  4. This gives 3/4.

The result of dividing 9/8 by 3/2 is : 3/4 (or 0.75 in its decimal form)