# Algebraic Fractions

## A mixture of algebraic fraction calculations and simplifications.

##### Menu  Level 1Level 2Level 3Level 4Level 5DivisionExam-StyleHelpMore...

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

$$\frac{8x}{y^2}\times\frac{y}{x^2}$$

 =

$$\frac{8a}{b}\times\frac{b^2}{2a^2}$$

 =

$$\frac{2c^2}{9d}\times\frac{4d^2}{3c}$$

 =

$$\frac{3e^2}{6f^3}\times\frac{3f^2}{6e}$$

 =

$$\frac{4g^2}{8h}\times\frac{6h^2}{2g}$$

 =

$$\frac{5abc}{5abd}\times\frac{2abd}{3bcd}$$

 =

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

 =

$$\frac{2c^2}{7d}\div\frac{3c}{5d^2}$$

 =

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

 =

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

 =

$$\frac{5wxy}{7wxz}\div\frac{8xyz}{6wxz}$$

 =

$$\frac{8m^2n}{7p^2q}\times\frac{6pq}{4n^2}\div\frac{3m}{4p^2q}$$

 =
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.

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"Hi, I'm a new user so this may be a silly question, but in the Algebra, how do I equate the Transum levels to school lelels? EG: What grade is Level 5? Thank you.

[Transum: That's a great question, and it's not silly at all. The levels in our Algebra exercises, as well as in other topics, are designed to reflect the stages of learning within that specific topic rather than correlating directly with school grade levels or Year groups. This means that a Level 5 in one topic, such as Tally Charts, might be significantly easier than a Level 1 in another topic, such as Differentiation.

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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.

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## 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.

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