What is 9/8 divided by 3/5?

Looking for the result of 9/8 ÷ 3/5? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 9/8 by 3/5?

9 8 ÷ 3 5 = 9 × 5 8 × 3 = 45 24 = 15 8
  1. Invert the divisor (3/5) to get its reciprocal: 5/3
  2. Multiply the dividend by this reciprocal : 9/8 × 5/3 = (9 × 5)/(8 × 3) = 45/24.
  3. Simplify the fraction (45/24) by dividing both the numerator and the denominator by their GCD(3):
    • 45/3 = 15
    • 24/3 = 8
  4. This gives 15/8.
  5. Since 15/8 is an improper fraction, it could also be written as 1 7 8 .

The result of dividing 9/8 by 3/5 is : 15/8 (or 1.875 in its decimal form)