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Fractions by Wholes

An exercise on multiplying and dividing proper fractions and mixed numbers by whole numbers.

Level 1 Level 2 Level 3 Description Help More Fractions

Work out the following without using a calculator. Give your answers in their lowest terms.

Each correct answer earns one piece of the jigsaw.

Drag the jigsaw pieces into this rectangle to assemble the joke!

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$$\frac{3}{10} \times 3$$
=   Correct Wrong

$$\frac{2}{7} \times 2$$
=   Correct Wrong

$$4 \times \frac{1}{5}$$
=   Correct Wrong

$$2 \times \frac{5}{12}$$
=   Correct Wrong

$$\frac{1}{9} \times 3$$
=   Correct Wrong

$$\frac{3}{8} \times 2$$
=   Correct Wrong

$$\frac{3}{5} \times 5$$

= Correct Wrong

$$\frac{3}{4} \times 12$$

= Correct Wrong

$$24 \times \frac{5}{12}$$

= Correct Wrong

Check

This is Fractions by Wholes level 1. You can also try:
Level 2 Level 3

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.

Why am I learning this?

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

Comment recorded on the 3 October 'Starter of the Day' page by S Mirza, Park High School, Colne:

"Very good starters, help pupils settle very well in maths classroom."

Comment recorded on the 28 May 'Starter of the Day' page by L Smith, Colwyn Bay:

"An absolutely brilliant resource. Only recently been discovered but is used daily with all my classes. It is particularly useful when things can be saved for further use. Thank you!"

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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.

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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 - Multiplying a proper fraction by a whole number

Level 2 - Dividing a proper fraction by a whole number

Level 3 - Multiplying and dividing mixed numbers by whole numbers

More Fractions including lesson Starters, visual aids, investigations and self-marking 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.

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Related Activity:

Fractions

Fractions

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

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.

Log in Sign up

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