What is 7/2 divided by 10/5?

Looking for the result of 7/2 ÷ 10/5? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 7/2 by 10/5?

7 2 ÷ 10 5 = 7 × 5 2 × 10 = 35 20 = 7 4
  1. Invert the divisor (10/5) to get its reciprocal: 5/10
  2. Multiply the dividend by this reciprocal : 7/2 × 5/10 = (7 × 5)/(2 × 10) = 35/20.
  3. Simplify the fraction (35/20) by dividing both the numerator and the denominator by their GCD(5):
    • 35/5 = 7
    • 20/5 = 4
  4. This gives 7/4.
  5. Since 7/4 is an improper fraction, it could also be written as 1 3 4 .

The result of dividing 7/2 by 10/5 is : 7/4 (or 1.75 in its decimal form)