Question

How do you solve `\frac { 1} { 4m } - \frac { 5} { 3} = \frac { 1} { 12m }`?

Answer 1

The basic idea to figure out this question is to use the GCF; or the Greatest Common Factor and the LCD; the Least Common Denominator.

Explanation:

First step is to figure out the least common denominator of the three fractions. Next, figure out the problem by multiplying the factors, and figure out the variable in the process.

`1/4m - 5/3 = 1/12m`

Multiply the factors to the other numerators.

`=(3-20m-1)/12m`

And we can cancel out the denominator because they are all the same.

`-20m+2`

Move the number to the other side.

`-20m = -2`

Solve for x.

`m= 1/10`

Optional: You can plug your answer into the original equation to check if it's correct or not.