What is 10/9 divided by 5/10?

Looking for the result of 10/9 ÷ 5/10? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 10/9 by 5/10?

10 9 ÷ 5 10 = 10 × 10 9 × 5 = 100 45 = 20 9
  1. Invert the divisor (5/10) to get its reciprocal: 10/5
  2. Multiply the dividend by this reciprocal : 10/9 × 10/5 = (10 × 10)/(9 × 5) = 100/45.
  3. Simplify the fraction (100/45) by dividing both the numerator and the denominator by their GCD(5):
    • 100/5 = 20
    • 45/5 = 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 5/10 is : 20/9 (or 2.2222222222222 in its decimal form)