Fractions are just a way to represent division. We can add, subtract, multiply, and divide fractions, similar to whole numbers.
Note: When working with equations involving fractions, make sure to keep the denominators in check as they can affect your calculations.
In one-step equations with fractions, you’re only a step away from finding the value of the variable. For example, if you have , you can multiply both sides by 2 to get .
The main aim here is to get the variable alone on one side of the equation, and in one-step equations with fractions, this usually means getting rid of the denominator.
Sometimes it takes two steps to isolate the variable. For example, consider
If your equation has fractions, you can get rid of them to make the equation easier to work with. For example:
A quick way to get rid of the fractions is to multiply everything in the equation by a number that turns all the fractions into whole numbers. In this case, 4 will work. So, .
After doing the multiplication, you’ll get
Sometimes you’ll find equations that have fractions on both sides. For example, let’s solve:
Next, isolate on one side of the equation by subtracting from both sides: