If n is 8 and 162m is equal to 4 times n, what is the value of m?

To find the value of m, we start with the given information. We know:

Now, we can substitute the value of n into the equation:

162m = 4(8)

Calculating the right-hand side:

4(8) = 32

So, we now have:

162m = 32

Next, to isolate m, we divide both sides of the equation by 162:

m = \( \frac{32}{162} \)

Now, simplifying that fraction:

Both 32 and 162 can be divided by 2:

m = \( \frac{16}{81} \)

Thus, the value of m is:

m = \( \frac{16}{81} \)

This value remains in its simplest form, as 16 and 81 share no common factors other than 1.