What is 7 divided by 4/6?

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

How to divide 7 by 4/6?

7 1 ÷ 4 6 = 7 × 6 1 × 4 = 42 4 = 21 2
  1. Invert the divisor (4/6) to get its reciprocal: 6/4
  2. Multiply the dividend by this reciprocal : 7/1 × 6/4 = (7 × 6)/(1 × 4) = 42/4.
  3. Simplify the fraction (42/4) by dividing both the numerator and the denominator by their GCD(2):
    • 42/2 = 21
    • 4/2 = 2
  4. This gives 21/2.
  5. Since 21/2 is an improper fraction, it could also be written as 10 1 2 .

The result of dividing 7/1 by 4/6 is : 21/2 (or 10.5 in its decimal form)