What is 10/4 divided by 3/7?

Looking for the result of 10/4 ÷ 3/7? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 10/4 by 3/7?

10 4 ÷ 3 7 = 10 × 7 4 × 3 = 70 12 = 35 6
  1. Invert the divisor (3/7) to get its reciprocal: 7/3
  2. Multiply the dividend by this reciprocal : 10/4 × 7/3 = (10 × 7)/(4 × 3) = 70/12.
  3. Simplify the fraction (70/12) by dividing both the numerator and the denominator by their GCD(2):
    • 70/2 = 35
    • 12/2 = 6
  4. This gives 35/6.
  5. Since 35/6 is an improper fraction, it could also be written as 5 5 6 .

The result of dividing 10/4 by 3/7 is : 35/6 (or 5.8333333333333 in its decimal form)