What is 6 divided by 9/8?

Looking for the result of 6 ÷ 9/8? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 6 by 9/8?

6 1 ÷ 9 8 = 6 × 8 1 × 9 = 48 9 = 16 3
  1. Invert the divisor (9/8) to get its reciprocal: 8/9
  2. Multiply the dividend by this reciprocal : 6/1 × 8/9 = (6 × 8)/(1 × 9) = 48/9.
  3. Simplify the fraction (48/9) by dividing both the numerator and the denominator by their GCD(3):
    • 48/3 = 16
    • 9/3 = 3
  4. This gives 16/3.
  5. Since 16/3 is an improper fraction, it could also be written as 5 1 3 .

The result of dividing 6/1 by 9/8 is : 16/3 (or 5.3333333333333 in its decimal form)