please show work divide 1/2 divided by1/8 need to see steps thanks

(1/2) / (1/8)

(1/2) * (8/1) = 8/2 = 4

or, if you think of it the other way, you know that

1/2 = 4/8

so, 4/8 is 4 times as big as 1/8

thanks guys!

To divide fractions, you need to follow these steps:

Step 1: Find the reciprocal of the divisor.
The reciprocal of a fraction is obtained by swapping the numerator and the denominator. So, the reciprocal of 1/8 is 8/1.

Step 2: Multiply the dividend (the first fraction) by the reciprocal of the divisor (the second fraction).
So, 1/2 * 8/1 = 8/2.

Step 3: Simplify the resulting fraction, if possible.
To simplify the fraction, find the greatest common divisor (GCD) of the numerator and the denominator, and divide both by the GCD. In this case, the GCD of 8 and 2 is 2.
Dividing the numerator and the denominator by 2, you get:
8 ÷ 2 / 2 ÷ 2 = 4/1.

Therefore, 1/2 ÷ 1/8 equals 4/1, or simply 4.