Question

Find the difference of 8/15 and 1/6?

Answer 1

`(8)/(15)-(1)/(6)`

We find the LCM of the denominators as follows;

The multiples of 15 are;

`15,30,45,60,75\ldots`

The multiples of 6 are;

`6,12,18,24,30,36,42,48\ldots`

Thus, the lowest common multiple of 15 and 6 is;

`30`

Then,

`\begin{gathered} (8)/(15)-(1)/(6)=((30)/(15)(8)-(30)/(6)(1))/(30) \\ (8)/(15)-(1)/(6)=(2(8)-5(1))/(30) \\ (8)/(15)-(1)/(6)=(16-5)/(30) \\ (8)/(15)-(1)/(6)=(11)/(30) \end{gathered}`

Thus, the difference is;

`(11)/(30)`