Study P3 Mathematics Fractions - Geniebook

Fractions

Fraction is used to represent part of a whole.

For example, the circle shown is divided into 3 equal parts.

1 out of 3 parts is shaded.

$$\frac {1}{3}$$ of the figure is shaded.

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Question 1:

What fraction of the figure is shaded?

1. $$\frac {\; 1 \;} {\; 2 \;}$$
2. $$\frac {\; 1 \;} {\; 3 \;}$$
3. $$\frac {\; 1 \;} {\; 4 \;}$$
4. $$\frac {\; 1 \;} {\; 5 \;}$$

Solution:

The circle is divided into 4 equal parts.

1 out of 4 parts are shaded.

$$\frac {\; 1 \;} {\; 4 \;}$$ of the figure is shaded.

(3) $$\frac {\; 1 \;} {\; 4 \;}$$

Question 2:

What fraction of the figure is shaded?

1. $$\frac {\; 1 \;} {\; 6 \;}$$
2. $$\frac {\; 2 \;} {\; 6 \;}$$
3. $$\frac {\; 4 \;} {\; 6 \;}$$
4. $$\frac {\; 5 \;} {\; 6 \;}$$

Solution:

The circle is divided into 6 equal parts.

4 out of 6 parts are shaded.

$$\frac {\; 4 \;} {\; 6 \;}$$ of the figure is shaded.

(3) $$\frac {\; 4 \;} {\; 6 \;}$$

Question 3:

What fraction of the figure is not shaded?

1. $$\frac {\; 1 \;} {\; 8 \;}$$
2. $$\frac {\; 3 \;} {\; 8 \;}$$
3. $$\frac {\; 5 \;} {\; 8 \;}$$
4. $$\frac {\; 7 \;} {\; 8 \;}$$

Solution:

The circle is divided into 8 parts.

3 out of 8 parts are not shaded.

$$\frac {\; 3 \;} {\; 8 \;}$$ of the figure is not shaded.

(2) $$\frac {\; 3 \;} {\; 8 \;}$$

1. Understanding the simplest form
2. Finding equivalent fractions

1. Understanding The Simplest Form

A fraction is in its simplest form if the numerator and the denominator cannot be divided by the same number any further.

 Circle A Circle B Circle C $$\frac {\; 1 \;} {\; 2 \;}$$ $$\frac {\; 2 \;} {\; 4 \;}$$ $$\frac {\; 3 \;} {\; 6 \;}$$

Question 1:

Express $$\frac {\; 6 \;} {\; 24 \;}$$ in its simplest form.

Solution:

OR

$$\frac {\; 1 \;} {\; 4 \;}$$

Question 2:

Express $$\frac {\; 5 \;} {\; 15 \;}$$ in its simplest form.

Solution:

$$\frac {\; 1 \;} {\; 3 \;}$$

Question 3:

Express $$\frac {\; 3 \;} {\; 18 \;}$$ in its simplest form.

Solution:

$$\frac {\; 1 \;} {\; 6 \;}$$

Question 4:

Express $$\frac {\; 6 \;} {\; 10 \;}$$ in its simplest form.

Solution:

$$\frac {\; 3 \;} {\; 5 \;}$$

Question 5:

Express $$\frac {\; 12 \;} {\; 15 \;}$$ in its simplest form.

Solution:

$$\frac {\; 4 \;} {\; 5 \;}$$

Question 6:

Express $$\frac {\; 8 \;} {\; 20 \;}$$ in its simplest form.

Solution:

$$\frac {\; 2 \;} {\; 5 \;}$$

2. Finding Equivalent Fractions

Equivalent fractions are fractions with different numerators and denominators but they represent the same value or proportion of a whole.

 Circle A Circle B $$\frac {\; 1 \;} {\; 3 \;}$$ $$\frac {\; 2 \;} {\; 6 \;}$$

The areas shaded in both circles are exactly the same.

Hence, 13 and 26 are equivalent fractions.

 $$\frac {\; 1 \;} {\; 2 \;}$$ $$\frac {\; 2 \;} {\; 4 \;}$$ $$\frac {\; 4 \;} {\; 8 \;}$$

Equivalent fractions when expressed in its simplest form are the same.

Question 1:

What is the missing number?

$$\frac {4} {10}=\frac {2}{?}$$

Solution:

The missing number is 5.

5

Question 2:

What is the missing number?

$$\frac {9} {12} = \frac{3}{?}$$

Solution:

The missing number is 4.

4

Question 3:

What is the missing number?

$$\frac {12} {18}=\frac{4}{?}$$

Solution:

The missing number is 6.

6

Question 4:

What is the missing number?

$$\frac {3} {5}=\frac{?}{10}$$

Solution:

The missing number is 6.

6

Question 5:

What is the missing number?

$$\frac {3} {4}=\frac{?}{12}$$

Solution:

The missing number is 9.

9

Question 6:

What is the missing number?

$$\frac {2}{3}=\frac{?}{18}$$

Solution:

The missing number is 12.

12

Question 7:

Which of the following is equivalent to $$\frac {\; 3 \;} {\; 4 \;}$$?

1. $$\frac {\; 4 \;} {\; 8 \;}$$
2. $$\frac {\; 8 \;} {\; 12 \;}$$
3. $$\frac {\; 13 \;} {\; 16 \;}$$
4. $$\frac {\; 15 \;} {\; 20 \;}$$

Solution:

(4) $$\frac {\; 15 \;} {\; 20 \;}$$

Question 8:

Which of the following is equivalent to $$\frac {\; 2 \;} {\; 12 \;}$$

1. $$\frac {\; 1 \;} {\; 6 \;}$$
2. $$\frac {\; 2 \;} {\; 6 \;}$$
3. $$\frac {\; 3 \;} {\; 6 \;}$$
4. $$\frac {\; 4 \;} {\; 6 \;}$$

Solution:

(1) $$\frac {\; 1 \;} {\; 6 \;}$$

Question 9:

Which of the following is equivalent to $$\frac {\; 4 \;} {\; 6 \;}$$

1. $$\frac {\; 1 \;} {\; 3 \;}$$
2. $$\frac {\; 3 \;} {\; 7 \;}$$
3. $$\frac {\; 8 \;} {\; 12 \;}$$
4. $$\frac {\; 14 \;} {\; 16 \;}$$

Solution:

(3) $$\frac {\; 8 \;} {\; 12 \;}$$

Continue Learning
Volume Money
Mass Fractions
Addition And Subtraction Whole Numbers 1
Whole Numbers 3 Whole Numbers 6
Bar Graphs Angles
Multiplication and Division Length, Mass And Volume
Length Area and Perimeter
Parallel And Perpendicular Lines

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Bar Graphs
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Multiplication and Division
Length, Mass And Volume
Length
Area and Perimeter
Parallel And Perpendicular Lines
Science
Primary 4
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