What is 10/9 divided by 5/4?

Looking for the result of 10/9 ÷ 5/4? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 10/9 by 5/4?

10 9 ÷ 5 4 = 10 × 4 9 × 5 = 40 45 = 8 9
  1. Invert the divisor (5/4) to get its reciprocal: 4/5
  2. Multiply the dividend by this reciprocal : 10/9 × 4/5 = (10 × 4)/(9 × 5) = 40/45.
  3. Simplify the fraction (40/45) by dividing both the numerator and the denominator by their GCD(5):
    • 40/5 = 8
    • 45/5 = 9
  4. This gives 8/9.

The result of dividing 10/9 by 5/4 is : 8/9 (or 0.88888888888889 in its decimal form)