What is 10/9 divided by 2/8?

Looking for the result of 10/9 ÷ 2/8? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 10/9 by 2/8?

10 9 ÷ 2 8 = 10 × 8 9 × 2 = 80 18 = 40 9
  1. Invert the divisor (2/8) to get its reciprocal: 8/2
  2. Multiply the dividend by this reciprocal : 10/9 × 8/2 = (10 × 8)/(9 × 2) = 80/18.
  3. Simplify the fraction (80/18) by dividing both the numerator and the denominator by their GCD(2):
    • 80/2 = 40
    • 18/2 = 9
  4. This gives 40/9.
  5. Since 40/9 is an improper fraction, it could also be written as 4 4 9 .

The result of dividing 10/9 by 2/8 is : 40/9 (or 4.4444444444444 in its decimal form)