What is 10/3 divided by 8/9?

Looking for the result of 10/3 ÷ 8/9? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 10/3 by 8/9?

10 3 ÷ 8 9 = 10 × 9 3 × 8 = 90 24 = 15 4
  1. Invert the divisor (8/9) to get its reciprocal: 9/8
  2. Multiply the dividend by this reciprocal : 10/3 × 9/8 = (10 × 9)/(3 × 8) = 90/24.
  3. Simplify the fraction (90/24) by dividing both the numerator and the denominator by their GCD(6):
    • 90/6 = 15
    • 24/6 = 4
  4. This gives 15/4.
  5. Since 15/4 is an improper fraction, it could also be written as 3 3 4 .

The result of dividing 10/3 by 8/9 is : 15/4 (or 3.75 in its decimal form)