Fractions

A series of self-marking exercises on adding, subtracting, multiplying and dividing fractions.

Level 1Level 2Level 3Level 4Level 5Level 6Level 7Level 8Level 9Mixed NumbersDescriptionHelpMore

This is level 9: mixed fraction calculations. Give your answers as single fractions in their lowest terms. You can earn a trophy if you get at least 9 correct and you do this activity online.

$$\frac{1}{3} + \frac{1}{6}$$
 =
$$\frac{2}{3} + \frac{1}{2}$$
 =
$$\frac{7}{10} - \frac{2}{25}$$
 =
$$\frac{4}{7} - \frac{2}{5}$$
 =
$$\frac{5}{11} \times \frac{1}{4}$$
 =
$$\frac{6}{11} \div \frac{5}{6}$$
 =
$$\frac{2}{9} + \frac{1}{6}$$
 =
$$\frac{8}{11} + \frac{1}{10}$$
 =
$$\frac{13}{22} - \frac{1}{3}$$
 =
$$\frac{5}{8} - \frac{5}{14}$$
 =
$$\frac{11}{12} \times \frac{6}{17}$$
 =
$$\frac{10}{19} \div \frac{4}{7}$$
 =
Check

This is Fractions level 9. You can also try:
Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Level 7 Level 8

You can also try the Mixed Numbers exercises: Level 1 Level 2 Level 3 Level 4

Here is an Advanced Lesson Starter you should also look at: Four Fraction Division

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

This web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available.

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Comment recorded on the 24 May 'Starter of the Day' page by Ruth Seward, Hagley Park Sports College:

"Find the starters wonderful; students enjoy them and often want to use the idea generated by the starter in other parts of the lesson. Keep up the good work"

Comment recorded on the 19 October 'Starter of the Day' page by E Pollard, Huddersfield:

"I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information."

River Crossing

Three interactive versions of the traditional river crossing puzzles. The objective is to get all of the characters to the other side of the river without breaking any of the rules.

Answers

There are answers to this exercise but they are available in this space to teachers, tutors and parents who have logged in to their Transum subscription on this computer.

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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

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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© Transum Mathematics :: This activity can be found online at:
www.transum.org/software/SW/Starter_of_the_day/Students/Fractions.asp?Level=9

Description of Levels

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Level 1 - Adding two fractions with the same denominators.

Level 2 - Adding two fractions with a common denominator.

Level 3 - Adding two fractions with random denominators.

Level 4 - Subtracting two fractions with the same denominators.

Level 5 - Subtracting two fractions with a common denominator.

Level 6 - Subtracting two fractions with random denominators.

Level 7 - Multiplying two fractions.

Level 8 - Dividing one fraction by another.

Level 9 - Mixed fraction calculations.

Mixed Numbers exercises.

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.

You may also want to use a calculator to check your working. See Calculator Workout skill 10.

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.

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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