Answer:
Given the equation: [tex]\frac{1}{7}x + \frac{11}{7}[/tex] ......[1]
Factor states that a number means to break it up into numbers that can be multiplied together to get the original number.
In the given equation;
x is the variable , the coefficient is [tex]\frac{1}{7}[/tex]
then, factor out [tex]\frac{1}{7}[/tex] and you are left with (x+11)
i.e,
[tex]\frac{1}{7}(x +11)[/tex]
therefore, factor [tex]\frac{1}{7}[/tex] out of [tex]\frac{1}{7}x + \frac{11}{7}[/tex] is;
[tex]\frac{1}{7}(x +11)[/tex]