Question

Which of the following is an equivalent form of the mixed number -12 3/4?

- 45/4
- -51/4
- -48/4
- -45/4

Answer 1

`- (45)/(4)`

Explanation:

Step one:

given the information

`-12 (3)/(4)` ----------------this is a mixed fraction with a negative integer number

let us convert this to a proper fraction

Step two:

Multiply the integer by the denominator and add the numerator, we have

`=(-12*4+3)/4\\\\=(-48+3)/4\\\\=-45/4`

The third option is correct