What is 9/8 divided by 2/6?

Looking for the result of 9/8 ÷ 2/6? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 9/8 by 2/6?

9 8 ÷ 2 6 = 9 × 6 8 × 2 = 54 16 = 27 8
  1. Invert the divisor (2/6) to get its reciprocal: 6/2
  2. Multiply the dividend by this reciprocal : 9/8 × 6/2 = (9 × 6)/(8 × 2) = 54/16.
  3. Simplify the fraction (54/16) by dividing both the numerator and the denominator by their GCD(2):
    • 54/2 = 27
    • 16/2 = 8
  4. This gives 27/8.
  5. Since 27/8 is an improper fraction, it could also be written as 3 3 8 .

The result of dividing 9/8 by 2/6 is : 27/8 (or 3.375 in its decimal form)