Question

Evaluate. 3/4 + 1/6 / 2/5Write your answer in simplest form.

Answer 1

Given

`(3)/(4)+(1)/(6)/(2)/(5)`

To evaluate to its simplest form.

Step-by-step explanation:

It is given that,

`(3)/(4)+(1)/(6)/(2)/(5)`

By using the rule of BODMAS,

`\begin{gathered} (3)/(4)+(1)/(6)/(2)/(5)=(3)/(4)+((1)/(6)*(5)/(2)) \\ =(3)/(4)+(5)/(12) \end{gathered}`

Taking LCM for 4 and 12 implies,

`LCM=12`

Then,

`\begin{gathered} (3)/(4)+(1)/(6)/(2)/(5)=(3)/(4)+(5)/(12) \\ =(3*3+5)/(12) \\ =(9+5)/(12) \\ =(14)/(12) \\ =(7)/(6) \\ =(6)/(6)+(1)/(6) \\ =1(1)/(6) \end{gathered}`

Hence, the simplest form is

`1(1)/(6).`