What is 8/5 divided by 9/10?

Looking for the result of 8/5 ÷ 9/10? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 8/5 by 9/10?

8 5 ÷ 9 10 = 8 × 10 5 × 9 = 80 45 = 16 9
  1. Invert the divisor (9/10) to get its reciprocal: 10/9
  2. Multiply the dividend by this reciprocal : 8/5 × 10/9 = (8 × 10)/(5 × 9) = 80/45.
  3. Simplify the fraction (80/45) by dividing both the numerator and the denominator by their GCD(5):
    • 80/5 = 16
    • 45/5 = 9
  4. This gives 16/9.
  5. Since 16/9 is an improper fraction, it could also be written as 1 7 9 .

The result of dividing 8/5 by 9/10 is : 16/9 (or 1.7777777777778 in its decimal form)