What is 3/10 divided by 9/5?

Looking for the result of 3/10 ÷ 9/5? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 3/10 by 9/5?

3 10 ÷ 9 5 = 3 × 5 10 × 9 = 15 90 = 1 6
  1. Invert the divisor (9/5) to get its reciprocal: 5/9
  2. Multiply the dividend by this reciprocal : 3/10 × 5/9 = (3 × 5)/(10 × 9) = 15/90.
  3. Simplify the fraction (15/90) by dividing both the numerator and the denominator by their GCD(15):
    • 15/15 = 1
    • 90/15 = 6
  4. This gives 1/6.

The result of dividing 3/10 by 9/5 is : 1/6 (or 0.16666666666667 in its decimal form)