Transum Software

Algebraic Fractions

A mixture of algebraic fraction calculations and simplifications.

Level 1 Level 2 Level 3 Level 4 Level 5 Exam-Style Description Help More Algebra

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

Simplify \(\frac{10s^2t}{40st^2}\)

=   Correct Wrong

\(\frac{3abc}{4abd}\times\frac{5abd}{7bcd}\)

=   Correct Wrong

\(\frac{4a}{b}\div\frac{2a^2}{b^2}\)

=   Correct Wrong

\(\frac{9j}{10}+\frac{9k}{10}\)

=   Correct Wrong

\(\frac{5w}{6y}-\frac{9x}{10z}\)

=   Correct Wrong

Simplify \(\frac{3e-6f}{9ef}\)

=   Correct Wrong

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

=   Correct Wrong

Simplify \(\frac{q^2-16}{q^2-3q-28}\)

=   Correct Wrong

\(\frac{3}{x-2}+\frac{2}{2-x}\)

=   Correct Wrong

\(\frac{2}{a-b}-\frac{3}{b-a}\)

=   Correct Wrong

Find \(b\) if \(\frac1a=\frac1b+\frac1c\)

=   Correct Wrong

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

=   Correct Wrong

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.

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Robynn Hofmeyr, South Africa

Wednesday, May 29, 2024

"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.

Each level is intended to help students build their understanding progressively within the context of that particular subject. For instance, Level 5 of Tally Charts might cover more basic concepts compared to Level 1 of Differentiation, which starts with more advanced principles of calculus.

I hope this clarifies how the levels are structured. If you have any more questions or need further assistance, please don't hesitate to ask.]"

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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.

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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.

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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