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©2011 Burt Books: All rights reserved. This worksheet may be photocopied by
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FRACTIONS
Copyright © Burt Books Ltd. 2011
Church Cottage
Albemarle Crescent
Scarborough
North Yorkshire
YO11 1XX
www.burtbooks.com
[email protected]
First published in the United Kingdom in 2011 By Burt Books Ltd.
All rights reserved worldwide:
No part of this publication may be reproduced or transmitted in any form
or by any means, electronic, mechanical, photocopying, recording or
otherwise, or stored in any retrieval system of any nature without the
written consent of the copyright holder and the publisher, application for
which should be made to Burt Books ltd.
The right of Coreen Burt to be identified as the author of FRACTIONS has
been asserted by her in accordance with the Copyright, Designs and
Patents Act 1988.
THE PURCHASE OF THIS THEME ON FRACTIONS ALLOWS THE
PURCHASER TO PRINT COPIES FOR INDIVIDUAL PUPILS ONLY AND NOT
FOR DISTRIBUTION OR SALE TO OTHERS (either as a whole book or
individual pages)
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©2011 Burt Books: All rights reserved. This worksheet may be photocopied by
the purchaser only and is not for on- sale. Burt Books – books that change lives.
www.burtbooks.com
What is a
fraction?
A fraction is a
part of a
whole.
1
2
What
does it
mean?
The black
semi-circle is a
fraction of the
whole circle.
The circle is
divided into 2
HALVES
So the black
part is 1 out of
2 halves = ½
The top number tells us how many
parts are in the fraction. (The coloured
parts) It is called the NUMERATOR
The bottom number of the fraction tells
us how many parts the whole is made
up of. It is called the DENOMINATOR.
Cut these shapes in half and then colour in ½ of the
shape.
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©2011 Burt Books: All rights reserved. This worksheet may be photocopied by
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More shapes to cut in HALF.
Colour in ½ of the shape.
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the purchaser only and is not for on- sale. Burt Books – books that change lives.
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Colour in 1/3 of these groups of
objects. This means that you will colour
in ONE out of the three objects.
Write the fraction in the box.
1
3
5
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the purchaser only and is not for on- sale. Burt Books – books that change lives.
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What fraction of each of these shapes is shaded?
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the purchaser only and is not for on- sale. Burt Books – books that change lives.
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Colour ¾ of these groups of objects. This
means that you will colour in THREE out of the
four objects.
Write the fraction in the box.
7
©2011 Burt Books: All rights reserved. This worksheet may be photocopied by
the purchaser only and is not for on- sale. Burt Books – books that change lives.
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Give the names of these fractions. You are naming the fraction of the
shape that is shaded.
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the purchaser only and is not for on- sale. Burt Books – books that change lives.
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4
9
Numerator
numerator says how many
Denominator
denominator says how many
parts in the fraction
equal parts in the whole object
Always remember: The denominator can NEVER be 0.
Why? Because you cannot have parts of nothing!
Write these fractions:
1. This fraction has a denominator of 5 and a numerator of 3 =
2. This fraction has a numerator of 5 and a denominator of 8=
3. This fraction has a denominator of 3 and a numerator of 1=
4. This fraction has a numerator of 6 and a denominator of 11=
5. This fraction has a denominator of 4 and a numerator of 3=
6. This fraction has a numerator of 3 and a denominator of 7=
7. This fraction has a denominator of 9 and a numerator of 4=
8. This fraction has a numerator of 10 and a denominator of 13=
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©2011 Burt Books: All rights reserved. This worksheet may be photocopied by
the purchaser only and is not for on- sale. Burt Books – books that change lives.
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Under each fraction picture write the NUMERATOR of that fraction. Two
examples have been done for you to help you.
1
1
2
Fill in DENOMINATOR or NUMERATOR in these sentences.
The ___________________________ tells us how many parts there are
in the fraction altogether.
The ________________________ tells us how many parts have been
shaded in these fractions.
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the purchaser only and is not for on- sale. Burt Books – books that change lives.
www.burtbooks.com
Finding a fraction of a number
Find ½ of these
objects.
½ of 6 =
½ of 8 =
½ of 4 =
11
½ of 10 =
©2011 Burt Books: All rights reserved. This worksheet may be photocopied by
the purchaser only and is not for on- sale. Burt Books – books that change lives.
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Fill in this table. The first one has been done for you.
The picture of the fraction looks like this:
The fraction is
divided into:
It is divided into
2 equal parts
Each part of
the fraction is
called:
One half
It is divided
into___
equal
parts
It is divided into
_____
equal
parts
It is divided into
______ equal
parts
It is divided into
______
equal
parts
It is divided into
______ equal
parts
It is divided into
_______equal
parts
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©2011 Burt Books: All rights reserved. This worksheet may be photocopied by
the purchaser only and is not for on- sale. Burt Books – books that change lives.
www.burtbooks.com
The
written
fraction:
½
½
½
¼
¼
⅛
⅛
⅛
¼
⅛ ⅛
¼
⅛
⅛
⅛
Use the table to answer the following questions.
1. How many quarters are there in ½ ? ______
2. How many eighths are there in ½ ? _______
3. How many eighths are there in ¾ ? ________
4. How many eighths are in one whole? ______
5. How many eighths are there in ¼ ? ________
Fill in < , > or =. (Remember the big open mouth always points to
the biggest number.)
¼
>
¾
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⅛
½
⅝
⅞
¼
⅜
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the purchaser only and is not for on- sale. Burt Books – books that change lives.
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½
½
¼
¼
⅛
⅛
⅛
¼
⅛ ⅛
¼
⅛
⅛
⅛
Fill in the missing words in these statements.
Use the
table to
answer
the
following
questions
.
One half is the same as _____ quarters.
One half is the same as ______ eighths.
One quarter is the same as _______ eighths.
Four eighths is the same as _________ quarters.
Eight eighths is the same as one ____________.
Four quarters is the same as one _____________.
Next to these statements write true or false. You could just put
a tick or a cross.
¼
¼
=
<
14
⅛
¾
>
⅝
⅞
¼
=
⅜
©2011 Burt Books: All rights reserved. This worksheet may be photocopied by
the purchaser only and is not for on- sale. Burt Books – books that change lives.
www.burtbooks.com