What is 10/6 divided by 1/5?

Looking for the result of 10/6 ÷ 1/5? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 10/6 by 1/5?

10 6 ÷ 1 5 = 10 × 5 6 × 1 = 50 6 = 25 3
  1. Invert the divisor (1/5) to get its reciprocal: 5/1
  2. Multiply the dividend by this reciprocal : 10/6 × 5/1 = (10 × 5)/(6 × 1) = 50/6.
  3. Simplify the fraction (50/6) by dividing both the numerator and the denominator by their GCD(2):
    • 50/2 = 25
    • 6/2 = 3
  4. This gives 25/3.
  5. Since 25/3 is an improper fraction, it could also be written as 8 1 3 .

The result of dividing 10/6 by 1/5 is : 25/3 (or 8.3333333333333 in its decimal form)