Solving equations written as fractions

curriculum-key-fact
To solve equations written as fractions, you must do the same thing to each side of the equation to get the answer.

It is useful to know that \frac{1}{2}x is the same as \frac{x}{2}, and \frac{1}{4}x is the same as \frac{x}{4}, etc.

For example look at the equation:

\frac{1}{2}x = 3

It can be rewritten as:

\frac{x}{2} = 3

If we then multiply both sides by 2 we get the answer:

x = 6

Question

Solve the equation:

2x - 3 = \frac {1}{2}

The number at the bottom is 2, so multiply both sides by 2. Remember that you must multiply every term of both sides by 2, to give:

4x - 6 = 1

Add 6 to both sides:

4x = 7

Then divide both sides by 4 to give:

x = \frac {7} {4}, which can be written as x = 1 \frac {3} {4}