# Algebraic Fractions

## A mixture of algebraic fraction calculations and simplifications.

##### Level 1Level 2Level 3Level 4Level 5Exam-StyleDescriptionHelpMore Algebra

This is level 5; Mixed algebraic fraction questions. You can earn a trophy if you get at least 9 correct.

Simplify $$\frac{12s^2t}{32st^2}$$

 =

$$\frac{3abc}{5abd}\times\frac{7abd}{7bcd}$$

 =

$$\frac{9a}{b}\div\frac{2a^2}{b^2}$$

 =

$$\frac{5j}{6}+\frac{8k}{9}$$

 =

$$\frac{5w}{6y}-\frac{10x}{11z}$$

 =

Simplify $$\frac{5e-10f}{15ef}$$

 =

Simplify $$\frac{x+5}{2x^2+7x-15}$$

 =

Simplify $$\frac{q^2-25}{q^2-2q-35}$$

 =

$$\frac{3}{x-2}+\frac{2}{2-x}$$

 =

$$\frac{2}{a-b}-\frac{3}{b-a}$$

 =

Find $$b$$ if $$\frac1a=\frac1b+\frac1c$$

 =

Find $$x$$ if $$\frac2x=\frac{3+y}{5}-\frac4x$$

 =
Check

This is Algebraic Fractions level 5. You can also try:
Level 1 Level 2 Level 3 Level 4

## Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

## Transum.org

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#### Polybragging

If you have ever played a card game called Top Trumps you will know the main idea of this game already. Based on the properties of polygons this game for two or more players is a fun way to learn geometric facts.

## Answers

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## Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

## Maths Map

Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

## Teachers

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## Description of Levels

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Level 1 - Simplifying algebraic fractions.

Level 2 - Multiplying and dividing algebraic fractions.

Level 3 - Adding and subtracting two algebraic fractions.

Level 4 - Simplifying algebraic fractions by factorising.

Level 5 - Mixed algebraic fraction questions.

Exam Style questions are in the style of GCSE or IB/A-level exam paper questions and worked solutions are available for Transum subscribers.

More on this topic including lesson Starters, visual aids and investigations.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

## Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

## Example

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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