Question

Evaluate 5/12−w when w=−1/4.

Answer 1

`(2)/(3)`

Explanation:

`(5)/(12)` -
`(-1)/(4)` Subtracting a negative is the same as adding a positive.

`(5)/(12)` +
`(1)/(4)` To add we need a common denominator. Let's use 12. We need to write an equivalent fraction for
`(1)/(4)` that has a denominator of 12. Multiple the top and bottom by 3

`(1)/(4)` x
`(3)/(3)` =
`(3)/(12)` Now add the fractions together

`(5)/(12)` +
`(3)/(12)` =
`(8)/(12)`

We can simplify
`(8)/(12)` by dividing the top and bottom by 4

`(8)/(12)` ÷
`(4)/(4)` =
`(2)/(3)`

Answer 2

Answer: 2/3 or 0.6 repeated

5/12-(-1/4) change to positive 5/12+1/4= 2/3 or 0.6 repeated