Question

Solve for t.......

`4 (t + \cfrac{1}{4} \: ) = 3`​

Answer 1

`t = (1)/(2)`

Explanation:

`4(t + (1)/(4) ) = 3`

Divid the whole equation by 4.

`(4(t + (1)/(4) ))/(4) = (3)/(4)`

`(t + (1)/(4) ) = (3)/(4)`

`t + (1)/(4) = (3)/(4)`

Take 1/4 to right side.

`t = ( 3)/(4) - (1)/(4)`

`t= (2)/(4)`

To simplify the answer more divide the numerator and denominator by 2.

`t = (1)/(2)`

Answer 2

`t = \cfrac{1}{2}`

Explanation:

Given equation:

`4(t+\cfrac{1}{4})=3`

Divide both sides by 4:

`t+\cfrac{1}{4}=\cfrac{3}{4}`

Subtract 1/4 from both sides:

`t = \cfrac{3}{4}- \cfrac{1}{4}`

`t = \cfrac{2}{4}`

Simplify:

`t = \cfrac{1}{2}`