We are given the equation here :
[tex]f+\frac{1}{4}= \frac{-7}{2}[/tex]
Here 1/4 is in addition on the left side, so we will use opposite operation of addition on the right side.
Opposite operation of addition is subtraction.
So subtracting 1/4 from right side, we have:
[tex]f=\frac{-7}{2}-\frac{1}{4} [/tex]
In case of fractions addition or subtraction , we have to find the least common denominator first.
LCD for 2 and 4 is 4,
[tex]f=\frac{-14}{4}-\frac{1}{4} [/tex]
f=-15/4
Answer : The value of f is (-15)/4
