Fractions by Wholes

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

Level 1Level 2Level 3DescriptionHelpMore 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!

Ha ha ha, that's so funny! Don't forget to collect your trophy using the button below.

$$\frac{3}{10} \times 3$$
 =
$$\frac{2}{7} \times 2$$
 =
$$4 \times \frac{1}{5}$$
 =
$$2 \times \frac{5}{12}$$
 =
$$\frac{1}{9} \times 3$$
 =
$$\frac{3}{8} \times 2$$
 =
$$\frac{3}{5} \times 5$$

=

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

=

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

=

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.

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.

More Activities:

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 2 April 'Starter of the Day' page by Mrs Wilshaw, Dunsten Collage,Essex:

"This website was brilliant. My class and I really enjoy doing the activites."

Comment recorded on the 23 September 'Starter of the Day' page by Judy, Chatsmore CHS:

"This triangle starter is excellent. I have used it with all of my ks3 and ks4 classes and they are all totally focused when counting the triangles."

ChrisMaths

Christmas activities make those December Maths lessons interesting, exciting and relevant. If students have access to computers there are some online activities to keep them engaged such as Christmas Ornaments and Christmas Light Up.

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.

A Transum subscription unlocks the answers to the online exercises, quizzes and puzzles. It also provides the teacher with access to quality external links on each of the Transum Topic pages and the facility to add to the collection themselves.

Subscribers can manage class lists, lesson plans and assessment data in the Class Admin application and have access to reports of the Transum Trophies earned by class members.

Subscribe

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:

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

For Students:

For All:

© Transum Mathematics :: This activity can be found online at:
www.Transum.org/go/?Num=776

Description of Levels

Close

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.

Related Activity:

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.

Close