Question

Please help with this (01.02 MC) Simplify negative 6 and 1 over 4 - negative 2 and 1 over 8 . (5 points) Group of answer choices 4 and 1 over 8 negative 8 and 3 over 8 negative 4 and 1 over 8 8 and 3 over 8

Answer 1

Given:

The expression is:

`-6(1)/(4)-2(1)/(8)`

To find:

The simplified form of the given expression.

Solution:

We have,

`-6(1)/(4)-2(1)/(8)`

Write the mixed fractions in the form of improper fractions.

`=-(6(4)+1)/(4)-(2(8)+1)/(8)`

`=-(24+1)/(4)-(16+1)/(8)`

`=-(25)/(4)-(17)/(8)`

Taking LCM, we get

`=(2(-25)-17)/(8)`

`=(-50-17)/(8)`

`=(-67)/(8)`

Now write this improper fraction in the form of mixed fraction.

`=-(64+3)/(8)`

`=-\left((64)/(8)+(3)/(8)\right)`

`=-\left(8+(3)/(8)\right)`

`=-8(3)/(8)`

Therefore, the correct option is B.