What is 3/2 divided by 6/5?

Looking for the result of 3/2 ÷ 6/5? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 3/2 by 6/5?

3 2 ÷ 6 5 = 3 × 5 2 × 6 = 15 12 = 5 4
  1. Invert the divisor (6/5) to get its reciprocal: 5/6
  2. Multiply the dividend by this reciprocal : 3/2 × 5/6 = (3 × 5)/(2 × 6) = 15/12.
  3. Simplify the fraction (15/12) by dividing both the numerator and the denominator by their GCD(3):
    • 15/3 = 5
    • 12/3 = 4
  4. This gives 5/4.
  5. Since 5/4 is an improper fraction, it could also be written as 1 1 4 .

The result of dividing 3/2 by 6/5 is : 5/4 (or 1.25 in its decimal form)