What is 8/5 divided by 2/3?

Looking for the result of 8/5 ÷ 2/3? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 8/5 by 2/3?

8 5 ÷ 2 3 = 8 × 3 5 × 2 = 24 10 = 12 5
  1. Invert the divisor (2/3) to get its reciprocal: 3/2
  2. Multiply the dividend by this reciprocal : 8/5 × 3/2 = (8 × 3)/(5 × 2) = 24/10.
  3. Simplify the fraction (24/10) by dividing both the numerator and the denominator by their GCD(2):
    • 24/2 = 12
    • 10/2 = 5
  4. This gives 12/5.
  5. Since 12/5 is an improper fraction, it could also be written as 2 2 5 .

The result of dividing 8/5 by 2/3 is : 12/5 (or 2.4 in its decimal form)