A detailed look at how algebraic fractions can be manipulated and simplified.

Adapted from 'Algebraic fractions: simplifying' by Ben Brawn.

Simplifying algebraic expressions

Solve a first order algebraic equation

Express $\displaystyle \frac{a}{(x+r)(px + b)} + \frac{c}{(x+r)(qx + d)}$ as an algebraic single fraction over a common denominator. The question asks for a solution which has denominator $(x+r)(px+b)(qx+d)$.

Instructions on inputting ratios of algebraic expressions. Could link to calculator input.

Instructions on inputting ratios of algebraic expressions.

Instructions on inputting ratios of algebraic expressions.

Expanding and simplifying an expression.

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Add, subtract, multiply and divide algebraic fractions.

Add, subtract, multiply and divide algebraic fractions.

Simplifying algebraic expressions

Simplifying algebraic expressions

Solve a first order algebraic equation

13 questions on combining algebraic fractions. An area in which students often need practice. 

Entering numbers and algebraic symbols  in Numbas.

Inputting algebraic expressions into Numbas.

Instructions on inputting ratios of algebraic expressions.

More work with dividing and multiplying algebraic fractions

Putting algebraic fractions into their simplest forms

Putting algebraic fractions into their simplest forms