What is 6/7 divided by 2/6?

Looking for the result of 6/7 ÷ 2/6? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 6/7 by 2/6?

6 7 ÷ 2 6 = 6 × 6 7 × 2 = 36 14 = 18 7
  1. Invert the divisor (2/6) to get its reciprocal: 6/2
  2. Multiply the dividend by this reciprocal : 6/7 × 6/2 = (6 × 6)/(7 × 2) = 36/14.
  3. Simplify the fraction (36/14) by dividing both the numerator and the denominator by their GCD(2):
    • 36/2 = 18
    • 14/2 = 7
  4. This gives 18/7.
  5. Since 18/7 is an improper fraction, it could also be written as 2 4 7 .

The result of dividing 6/7 by 2/6 is : 18/7 (or 2.5714285714286 in its decimal form)