Question

Explain the steps needed to determine the value of the expression shown below be sure to provide the correct value of the expression in your explanation

Answer 1

-3/2

Explanation:

In the picture attached, the complete question is shown.

The expression is:

`( (1)/(2) )/( (-2)/(5)) + (-1)/(4)`

You can rewrite the first term, expressing the division as a multiplication, that is, inverting the fraction in the denominator, as follows:

`(1)/(2) * (-5)/(2)+ (-1)/(4)`

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

The addition of a negative fraction is simply the subtraction by that fraction:

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

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

`(-6)/(4)`

Which can be simplified dividing by two both numerator and denominator:

`(-3)/(2)`