Question

Simplify 3/8 / 5/8.

Answer 1

You have to calculate:

`(3)/(8)/(5)/(8)`

To divide two fractions you have to determine the reciprocal fraction of the divisor, to do so, invert the numerator and denominator:

`(5)/(8)\to(8)/(5)`

Then multiply the dividend by the reciprocal fraction:

`(3)/(8)\cdot(8)/(5)=(3\cdot8)/(8\cdot5)=(24)/(40)`

Finally, you have to simplify the result, both "24" and "40 are divisible by 8, so to simplify the result you have to divide the numerator and denominator by 8:

`(24/8)/(40/8)=(3)/(5)`

The result of the division is 3/5