What is 5/4 divided by 3/8?

Looking for the result of 5/4 ÷ 3/8? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 5/4 by 3/8?

5 4 ÷ 3 8 = 5 × 8 4 × 3 = 40 12 = 10 3
  1. Invert the divisor (3/8) to get its reciprocal: 8/3
  2. Multiply the dividend by this reciprocal : 5/4 × 8/3 = (5 × 8)/(4 × 3) = 40/12.
  3. Simplify the fraction (40/12) by dividing both the numerator and the denominator by their GCD(4):
    • 40/4 = 10
    • 12/4 = 3
  4. This gives 10/3.
  5. Since 10/3 is an improper fraction, it could also be written as 3 1 3 .

The result of dividing 5/4 by 3/8 is : 10/3 (or 3.3333333333333 in its decimal form)