Question

Which expression represent the statement one-fourth the difference between 2/3 and 1/2

Answer 1

1/24

Step-by-step explanation:

First, we need to find the difference between 2/3 and 1/2 which means that we need to subtract 1/2 from 2/3;

`\begin{gathered} (2)/(3)-(1)/(2) \\ \Rightarrow(4-3)/(6) \\ \Rightarrow(1)/(6) \end{gathered}`

So the difference between 2/3 and 1/2 is 1/6. To find one fourth of 1/6, we have to multiply 1/6 by 1/4;

`(1)/(4)\ast(1)/(6)=(1)/(24)`

So one-fourth of the difference between 2/3 and 1/2​ is 1/24