What is 10/9 divided by 2/10?

Looking for the result of 10/9 ÷ 2/10? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 10/9 by 2/10?

10 9 ÷ 2 10 = 10 × 10 9 × 2 = 100 18 = 50 9
  1. Invert the divisor (2/10) to get its reciprocal: 10/2
  2. Multiply the dividend by this reciprocal : 10/9 × 10/2 = (10 × 10)/(9 × 2) = 100/18.
  3. Simplify the fraction (100/18) by dividing both the numerator and the denominator by their GCD(2):
    • 100/2 = 50
    • 18/2 = 9
  4. This gives 50/9.
  5. Since 50/9 is an improper fraction, it could also be written as 5 5 9 .

The result of dividing 10/9 by 2/10 is : 50/9 (or 5.5555555555556 in its decimal form)