Question

Subtract and simplify show your work below simplify your answer inside the home number fraction or a mixed number

Answer 1

The given expression is

`(5)/(6)-(1)/(4)`

To do the subtraction we must equalize the denominators

Since the lowest common multiple of 6 and 4 is 12, then make the denominators = 12

`(5)/(6)=(5*2)/(6*2)=(10)/(12)`
`(1)/(4)=(1*3)/(4*3)=(3)/(12)`

Then the expression is

`(5)/(6)-(1)/(4)=(10)/(12)-(3)/(12)`

Now, we will subtract the numerators

`\begin{gathered} (10)/(12)-(3)/(12)=((10-3))/(12)=(7)/(12) \\ (5)/(6)-(1)/(4)=(7)/(12) \end{gathered}`