What is 10/9 divided by 3/6?

Looking for the result of 10/9 ÷ 3/6? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 10/9 by 3/6?

10 9 ÷ 3 6 = 10 × 6 9 × 3 = 60 27 = 20 9
  1. Invert the divisor (3/6) to get its reciprocal: 6/3
  2. Multiply the dividend by this reciprocal : 10/9 × 6/3 = (10 × 6)/(9 × 3) = 60/27.
  3. Simplify the fraction (60/27) by dividing both the numerator and the denominator by their GCD(3):
    • 60/3 = 20
    • 27/3 = 9
  4. This gives 20/9.
  5. Since 20/9 is an improper fraction, it could also be written as 2 2 9 .

The result of dividing 10/9 by 3/6 is : 20/9 (or 2.2222222222222 in its decimal form)