Respuesta :

Answer:

f = -15/4

Step-by-step explanation:

f+1/4= -7/2

Subtract 1/4 from each side

f+1/4-1/4= -7/2-1/4

f = -7/2 -1/4

Get a common denominator of 4

f = -7/2*/2/2 - 1/4

f = -14/4-1/4

f = -15/4

Answer:

[tex]f = -\frac{15}{4}[/tex]

Step-by-step explanation:

[tex]f + \frac{1}{4} = -\frac{7}{2}[/tex]

  -1/4     -1/4     Subtract 1/4 from each side of the equation to isolate f.

[tex]f = -\frac{7}{2} -\frac{1}{4}[/tex]          in order to subtract these fractions, we need

                            to make both fractions have the same denominator.

                             2 x 2 = 4, so we can just multiply the top and bottom

                             by 2 to get -14/4. Now we can subtract the fractions.

[tex]f = -\frac{14}{4} -\frac{1}{4}[/tex]           Since the denominators are the same now,  ignore  

                              the bottom and focus on subtracting the numerators.

                              -14 - 1 = -15.

[tex]f = -\frac{15}{4}[/tex]                  This is the final answer.