What is 4/10 divided by 7/6?

Looking for the result of 4/10 ÷ 7/6? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 4/10 by 7/6?

4 10 ÷ 7 6 = 4 × 6 10 × 7 = 24 70 = 12 35
  1. Invert the divisor (7/6) to get its reciprocal: 6/7
  2. Multiply the dividend by this reciprocal : 4/10 × 6/7 = (4 × 6)/(10 × 7) = 24/70.
  3. Simplify the fraction (24/70) by dividing both the numerator and the denominator by their GCD(2):
    • 24/2 = 12
    • 70/2 = 35
  4. This gives 12/35.

The result of dividing 4/10 by 7/6 is : 12/35 (or 0.34285714285714 in its decimal form)