Fracciones En Inglés

MEP Y7 Practice Book A

10 Arithmetic: Fractions
10.1 Fractions
This unit deals with the important topic of fractions. These are numbers of the
a
form
when a and b are whole numbers and b ≠ 0 .
b
We first see what is meant by a fraction when related to geometrical shapes.

Example
What fraction of each shape is shaded?
(a)

(b)

(c)

(d)

Solution
(a)
(b)
(c)
(d)

3
43
8
7
(as there are 7 shaded triangles and 25 in total)
25
8
4
2
or .
, but this is the same as
20
10
5

142

MEP Y7 Practice Book A

Exercises
1.

What fraction of each of the following shapes is shaded?
(a)

(c)

(d)

(e)

(f)

(g)

2.

(b)

(h)

(i)

Copy each of these shapes and shade the fraction stated.
(a)

(b)
1
3

3
4

(c)

(d)

35

5
8

(e)

(f)

7
9

3
10

143

MEP Y7 Practice Book A

10.1
(g)

(h)

5
6

5
7

(i)

5
12
3.

(a)

On a copy of this rectangle, draw lines
to divide it into 8 equal parts.
1
Shade of the rectangle.
8
What fraction has not been shaded?

(b)
(c)
4.

Copy each shape and shade the fraction stated.
(a)

(b)

(c)

1
4

4
5

(e)

7
8(f)

7
16

5.

(d)

2
3

(g)

9
12

(h)

7
10

13
20

On separate diagrams, shade the stated fraction
of this shape.

(a)

1
2

(b)

1
4

(c)

144

1
3

(d)

1
6

(e)

1
12

MEP Y7 Practice Book A

6.

(a)

Copy this shape.

(b)

Shade

(c)

Shade another

(d)

What is the total fraction now shaded?

(e)

How much isleft unshaded?

3
of the shape.
8

2
of the shape.
8

3
of a shape. What fraction of the shape is left unshaded?
7

7.

Sarah shades

8.

A cake is divided into 12 equal parts. John eats
eats another

9.

1
. What fraction of the cake is left?
12

A car park contains 20 spaces. There are 17 cars parked in the car park.
(a)

What fraction of the car park is full?(b)

10.

3
of the cake and Kate
12

What fraction of the car park is empty?

Ali eats

3
of the sweets in a packet.
10

Tariq eats another

4
of the sweets.
10

(a)
(b)

11.

What fraction of the sweets has been eaten?
What fraction of the sweets is left?

Draw as many ways as you can of shading

1
of a shape.
2

Be as imaginative as you can.
Here is an idea toget you thinking.

145

MEP Y7 Practice Book A

10.2 Equivalent Fractions
It is easy to see from the diagram opposite that
1
2
and
2
4

are equivalent fractions, i.e. they both have the same value.
Another way of looking at this is to note that the fractions
are at the same place on a number line.

1
2

0

0

1
4

2
4

1

3
4

4
4

( = 1)

Example
Usethe diagram below to shade

5
of the rectangle in different ways.
8

Solution
Here are two possible answers.
(a)

(b)

In fact, shading any 20 of the small triangles (out of 32) gives the fraction
(which is equivalent to

10
20
, etc.)
or
16
32

146

5
8

MEP Y7 Practice Book A

Exercises
1.

The diagrams show that

2
4
is equivalent to
.
5
10

Draw adiagram to show that

2
8
is also equivalent to
.
5
20
2 4 12
==.
3 6 18

2.

Use the diagrams below to show that

3.

Write down the equivalent fractions shown by these diagrams.

4.

Use the diagram on the next page to fill in the missing numbers.
(a)

1
?
?
?
?
?
?
?
=
=
=
=
=
=
=
2
4
6
8
10
12
14
16

(b)

1
?
?
?
?
=
=
=
=
3
6
9
12
15(c)

1
?
?
?
=
=
=
4
8
12
16

(d)

1
?
?
=
=
5
10
15

(e)

1
?
=
6
12
147

MEP Y7 Practice Book A

10.2
(f)

1
?
=
7
14

(g)

1
?
=
8
16
ONE WHOLE
1
2
1
3
1
4
1
5

1
6
1
7
1
8

1
9
1
10

1
11
1
12

1
13

1
14
1
15

1
16

5.

Write down the missing numbers.
(a)

?
3
=
4
8

(b)

?
2
=
5
10...