# Simplifying Algebraic Fractions

## Cancelling algebraic fractions

Let us look at cancelling algebraic fractions first. We shall look at algebraic fractions that involve quadratic expressions.= 1/x + 2

= 1/x + 2

## Multiplying and dividing algebraic fractions

In the following examples we’re going to look at multiplying and dividing algebraic fractions.

^{3}

^{2}(x + 2)/4(x + 7)

^{3}of the other fraction. We can cancel these;

^{3}

^{2}(x + 2)/4(x + 7)

^{2}

_{3}

- 4x+12 has a common factor of 4
- 6x
^{2}-12x -90 has common factor of 6 - 5x – 10 has a common factor of 5
- x
^{2}– 4 has no common factors

- x
^{2}-2×-15 factorises to (x+3)(x-5) - x
^{2}-4 factorises to (x+2)(x-2)

^{2}

_{3}

### Add your example

Use the form below to add another example to this section. You will need to provide an example in form of a question. Followed by the answer and then a detailed explanation/walkthrough of the example and answer.

why are there no expressions that show subtraction. It moves from addition to multiplication to division

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Thanks for the article… It helped me a lot

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Yeah Bro this is very useful to those who are new to simplifying algebraic fractions. Thanks a lot mate, id rate this an 8! GOOD JOB KEEP ON COMING WITH THE GOOD WORK BUDS! SwAgmEiSter free styling out! Peace out Bruh’s!

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