What is 5/2 divided by 7/4?

Looking for the result of 5/2 ÷ 7/4? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 5/2 by 7/4?

5 2 ÷ 7 4 = 5 × 4 2 × 7 = 20 14 = 10 7
  1. Invert the divisor (7/4) to get its reciprocal: 4/7
  2. Multiply the dividend by this reciprocal : 5/2 × 4/7 = (5 × 4)/(2 × 7) = 20/14.
  3. Simplify the fraction (20/14) by dividing both the numerator and the denominator by their GCD(2):
    • 20/2 = 10
    • 14/2 = 7
  4. This gives 10/7.
  5. Since 10/7 is an improper fraction, it could also be written as 1 3 7 .

The result of dividing 5/2 by 7/4 is : 10/7 (or 1.4285714285714 in its decimal form)