How do you solve #\frac { f + 2} { 2} = 2#?

1 Answer
Dec 19, 2016

#f=2#

Explanation:

When there are fractions in an equation, we can #color(blue)"multiply both sides of the equation"# by the value on the denominator of the fraction. This process ' eliminates' the fraction.

Multiply both sides of the equation by 2

#cancel(2)^1xx(f+2)/cancel(2)^1=(2xx2)#

#rArrf+2=4larr" no fraction"#

To solve for f, subtract 2 from both sides.

#fcancel(+2)cancel(-2)=4-2#

#rArrf=2" is the solution"#

#color(blue)"NOTE"#

In solving equations, any operation performed on one side of the equation must also be performed on the other side.