What is 10/9 divided by 8/9?

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

How to divide 10/9 by 8/9?

10 9 ÷ 8 9 = 10 × 9 9 × 8 = 90 72 = 5 4
  1. Invert the divisor (8/9) to get its reciprocal: 9/8
  2. Multiply the dividend by this reciprocal : 10/9 × 9/8 = (10 × 9)/(9 × 8) = 90/72.
  3. Simplify the fraction (90/72) by dividing both the numerator and the denominator by their GCD(18):
    • 90/18 = 5
    • 72/18 = 4
  4. This gives 5/4.
  5. Since 5/4 is an improper fraction, it could also be written as 1 1 4 .

The result of dividing 10/9 by 8/9 is : 5/4 (or 1.25 in its decimal form)