What is 6/5 divided by 9/8?

Looking for the result of 6/5 ÷ 9/8? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 6/5 by 9/8?

6 5 ÷ 9 8 = 6 × 8 5 × 9 = 48 45 = 16 15
  1. Invert the divisor (9/8) to get its reciprocal: 8/9
  2. Multiply the dividend by this reciprocal : 6/5 × 8/9 = (6 × 8)/(5 × 9) = 48/45.
  3. Simplify the fraction (48/45) by dividing both the numerator and the denominator by their GCD(3):
    • 48/3 = 16
    • 45/3 = 15
  4. This gives 16/15.
  5. Since 16/15 is an improper fraction, it could also be written as 1 1 15 .

The result of dividing 6/5 by 9/8 is : 16/15 (or 1.0666666666667 in its decimal form)