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

Answer:

-3/2

Step-by-step explanation:

In the picture attached, the complete question is shown.

The expression is:

$\frac{ \frac{1}{2} }{ \frac{-2}{5}} + \frac{-1}{4}$

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

$\frac{1}{2} \times \frac{-5}{2}+ \frac{-1}{4}$

$\frac{-5}{4} + \frac{-1}{4}$

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

$\frac{-5}{4} - \frac{1}{4}$

$\frac{-5 - 1}{4}$

$\frac{-6}{4}$

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

$\frac{-3}{2}$