# Algebraic Fractions

## A mixture of algebraic fraction calculations and simplifications.

##### Level 1Level 2Level 3Level 4Level 5DescriptionMore Algebra

This is level 2; Multiplying and dividing algebraic fractions. You can earn a trophy if you get at least 9 correct.

$$\frac{9x}{y^2}\times\frac{y}{x^2}$$

 =

$$\frac{4a}{b}\times\frac{b^2}{2a^2}$$

 =

$$\frac{2c^2}{3d}\times\frac{4d^2}{3c}$$

 =

$$\frac{3e^2}{3f^3}\times\frac{8f^2}{7e}$$

 =

$$\frac{4g^2}{8h}\times\frac{3h^2}{7g}$$

 =

$$\frac{5abc}{5abd}\times\frac{5abd}{9bcd}$$

 =

$$\frac{4a}{b}\div\frac{2a^2}{b^2}$$

 =

$$\frac{2c^2}{2d}\div\frac{7c}{6d^2}$$

 =

$$\frac{4e^2}{6f^3}\div\frac{8e}{9f^2}$$

 =

$$\frac{6g^2}{7h}\div\frac{5g}{7h^2}$$

 =

$$\frac{5wxy}{7wxz}\div\frac{4xyz}{2wxz}$$

 =

$$\frac{8m^2n}{8p^2q}\times\frac{5pq}{4n^2}\div\frac{3m}{8p^2q}$$

 =
Check

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

## 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.

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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.

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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

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

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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.

Close