What is 9/8 divided by 3/10?

Looking for the result of 9/8 ÷ 3/10? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 9/8 by 3/10?

9 8 ÷ 3 10 = 9 × 10 8 × 3 = 90 24 = 15 4
  1. Invert the divisor (3/10) to get its reciprocal: 10/3
  2. Multiply the dividend by this reciprocal : 9/8 × 10/3 = (9 × 10)/(8 × 3) = 90/24.
  3. Simplify the fraction (90/24) by dividing both the numerator and the denominator by their GCD(6):
    • 90/6 = 15
    • 24/6 = 4
  4. This gives 15/4.
  5. Since 15/4 is an improper fraction, it could also be written as 3 3 4 .

The result of dividing 9/8 by 3/10 is : 15/4 (or 3.75 in its decimal form)