What is one fourth of one half of one fifth of two hundred?

Answer 1

Notice: (when you have a long problem like this, especially one involving order of operations, it is best to break it down into small piecees to work with. It may take a little more time and a little more space this way, but you greatly decrease your chances of making a mistake and getting it wrong. so in short: break long problems down to make it easier.)

the term of in math means multiply ... so:

1/4 x 1/2 x 1/5 x 200(/1)

i don't believe order of operations is necessary on this problem, so let's take it one step at a time. multiply numerator by numerator and denominator by denominator.

1/4 x 1/2 = 1/8

1/8 x 1/5 = 1/40

(do you follow what I am doing here?). Now for the final step. 200 is your largest number; it also is the only one that is not a fraction. But remember any whole number has an understood/implied demoninator of one. Whether you choose to show this or not will not have any affect on the final answer. So you can write the implied over one (/1) on the 200 to make the multiplication a bit easier.

1/40 x 200/1 = 200/40 now you are left with 200 divided by forty

(your zeros can cancel out)

20/4 = 5

Your final answer is 5