Question

How to figure out what is 5/8 of 2/3 of 3/10 of 27

Answer 1

A fraction "of" another fraction "of" another fraction, and so on, means the product of those fractions.

So, to find "5/8 of 2/3 of 3/10 of 27" we need to solve:

`(5)/(8)\cdot(2)/(3)\cdot(3)/(10)\cdot27`

Now, we can rearrange the order of the numerators in order to simplify the fractions before calculating the products:

`\begin{gathered} (5)/(8)\cdot(2)/(3)\cdot(3)/(10)\cdot27=(5\cdot2\cdot3)/(8\cdot10\cdot3)\cdot27=(30)/(8\cdot30)\cdot27=(1)/(8)\cdot27=(27)/(8) \\ \\ =3.375 \end{gathered}`

Therefore, this is the same as 1/8 of 27, which is 3.375.