Parts of a whole
Name:
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1. Write the fraction represented by each of these diagrams.
2. Divide and shade these rectangles to show these fractions.
1
2
2
5
1
4
3
5
5
8
3
10
3. What fraction needs to be added to the following fractions to complete the equation?
1
2 +
= 1
2
3 +
= 1
7
10 +
= 1
25
100 +
= 1
5
8 +
= 1
1
4 +
= 1
13
32 +
= 1
3
10 +
= 1
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7
The Fraction Book
Common denominator (3)
Name:
Many fraction pairs have more than one common denominator.
1
1
For example, for the fraction pair of 2 and 4 , the common denominators are 4, 8, 12, 16, 20, etc.
In this case, 4 is known as the lowest common denominator. That is, it is the lowest number
which is divisible by the denominators 2 and 4, without leaving a remainder:
1
For the fraction 4 , 4 ÷ 2 = 2 with no remainder.
1
For the fraction 2 , 2 ÷ 2 = 1 with no remainder.
Find the lowest common denominator for the
fraction pairs below, and two other common denominators as well.
1.
1 1
2 , 4
Lowest common denominator =
Other common denominators =
,
2.
1 1
5 , 10
Lowest common denominator =
Other common denominators =
,
3.
1 1
2 , 5
Lowest common denominator =
Other common denominators =
,
4.
1 1
2 , 8
Lowest common denominator =
Other common denominators =
,
1 1
5. 10 , 20
Lowest common denominator =
Other common denominators =
,
Find the lowest common denominator for these fraction pairs.
1 1
1. 3 , 7
Lowest common denominator =
1 1
7. 5 , 10
Lowest common denominator =
1 1
2. 2 , 10
Lowest common denominator =
1 1
8. 2 , 8
Lowest common denominator =
1 1
3. 6 , 9
Lowest common denominator =
1 1
9. 3 , 4
Lowest common denominator =
1 1
4. 4 , 5
Lowest common denominator =
1 1
10. 9 , 5
Lowest common denominator =
1 25
5. 25 , 100 Lowest common denominator =
1 1
11. 8 , 9
Lowest common denominator =
1 1
6. 2 , 9
2 21
12. 5 , 25 Lowest common denominator =
Lowest common denominator =
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15
The Fraction Book
Adding decimals (1)
Name:
1. Add the following decimals by coloring and then writing the answer.
0.3
0.2
=
+
0.5
0.3
=
+
0.6
0.7
=
+
2. Add the following decimals by coloring and then writing the answer.
0.07
0.2
=
+
0.16
0.6
=
+
0.35
0.56
+
=
3. Add these decimals.
(i) 0.7 + 0.2 =
(v) 0.13 + 0.25 =
(ii) 0.2 + 0.5 =
(vi) 0.77 + 0.28 =
(iii) 0.3 + 0.7 =
(vii) 0.25 + 0.75 =
(iv) 0.4 + 0.8 =
(viii) 0.95 + 0.15 =
© World Teachers Press® www.worldteacherspress.com
29
The Fraction Book
Fractions as percentages (1)
Name:
To convert a fraction into a percentage we must represent the fraction with a denominator of 100.
To do this we follow a simple procedure. We multiply the fraction by 100 and divide the resulting
numerator by the denominator. Follow the examples below:
1
2
x 100 = 100 = 50
= 50%
1
4
x 100 = 100 = 25
= 25%
2
5
x 100 = 200 = 40
= 40%
1
2
1
1
4
1
1
5
1
Now convert these fractions to percentages using this method.
1.
3
4
x
=
=
=
2.
3
5
x
=
=
=
3.
7 x
10
=
=
=
4. 15 x
20
=
=
=
5. 45 x
50
=
=
=
6. 17 x
25
=
=
=
7.
1
4
x
=
=
=
8.
4
5
x
=
=
=
9.
4 x
10
=
=
=
10.
9 x
10
=
=
=
© World Teachers Press® www.worldteacherspress.com
%
%
%
%
%
%
%
%
%
%
39
The Fraction Book