Study P2 Mathematics Fractions 1 - Geniebook

# Fractions 1

1. Understanding fractions
2. Writing fractions

## 1. Understanding Fractions

A fraction represents a part of a whole. The whole has to be divided into equal parts.

Example:

Let’s look at three whole pizzas. We need to split them into two equal slices. Which of the following has been cut into 2 equal slices?

A                                     B                               C

Solution:

Pizza A has been cut into 2 equal slices. Pizza B and Pizza C are not cut into equal slices.

Pizza A

We can represent each slice of pizza in Pizza A as a fraction. Each slice is one-half of the whole pizza. One-half means 1 part out of 2 equal slices. This is represented as 12.

We can divide wholes into different equal parts. The following shows the fractions representing each slice of the pizzas.

Question 1:

Which of the following shows $$\frac{1} {4}$$ of the figure shaded?

1. A
2. B
3. C
4. D

Solution:

Only A is divided into 4 equal parts. Of which, 1 part out of 4 is shaded.

(1) A

Question 2:

Which of the following shows $$\frac{1} {5}$$ of the figure shaded?

1. A
2. B
3. C
4. D

Solution:

Only D has been divided into 5 equal parts. Of which, 1 out of 5 equal parts is shaded.

(4) D

## 2. Writing Fractions

A fraction consists of a numerator and a denominator. The numerator refers to the part of a whole that you want. The denominator refers to the total number of equal parts a whole is split into.

Example:

What fraction of each circle is shaded?

In this example, the numerator is the number of shaded parts while the denominator is the total number of equal parts.

1.

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

1.

$$\frac{2} {4}$$

Question 1:

What fraction of the figure is shaded?

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

Solution:

The figure is divided into 6 equal parts. 2 parts are shaded.

(4) $$\frac{2} {6}$$

Question 2:

What fraction of the figure is shaded?

1. $$\frac{2} {8}$$
2. $$\frac{2} {16}$$
3. $$\frac{3} {16}$$
4. $$\frac{3} {8}$$

Solution:

The figure is divided into 16 equal parts. 3 parts are shaded.

(3) $$\frac{3} {16}$$

Question 3:

What fraction of the figure is not shaded?

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

Solution:

The figure is divided into 4 equal parts. 1 part is shaded and 3 parts are not shaded.

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

Question 4:

What fraction of the figure is not shaded?

1. $$\frac{4} {9}$$
2. $$\frac{5} {8}$$
3. $$\frac{5} {9}$$
4. $$\frac{1} {9}$$

Solution:

The figure is divided into 9 equal parts. 4 parts are shaded and 5 parts are not shaded.

(3) $$\frac{5} {9}$$

## Challenge yourself:

Question 1:

What fraction of the figure is shaded?

1. $$\frac{3} {7}$$
2. $$\frac{3} {4}$$
3. $$\frac{5} {12}$$
4. $$\frac{7} {12}$$

Solution:

To write a fraction, we need the figure to be divided into equal parts.

Let’s divide the figure further into equal parts and count.

Total number of parts $$= 12$$

Number of parts shaded $$= 5$$

(3)  $$\frac{5} {12}$$

Question 2:

The figure below is made up of 9 identical squares. How many more squares need to be shaded so that $$\frac{5} {9}$$ of the whole figure is shaded?

1. 1
2. 2
3. 3
4. 5

Solution:

3 out of 9 squares are shaded. So, $$\frac{3} {9}$$ of the figure is shaded. We need to shade 2 more squares so that  $$\frac{5} {9}$$ of the whole figure shaded.

(2) 2

• Understanding Fractions
• Writing Fractions

Continue Learning
Numbers To 1000 Multiplication And Division 1
Multiplication And Division 2 Addition And Subtraction 1
Addition And Subtraction 2 Fractions 1
Length 1 Mass 1
Volume 1 Money 1
Time 1 Shapes And Patterns
Picture Graphs 1 Model Drawing 1
Model Drawing 4

Primary
Primary 1
Primary 2
English
Maths
Numbers To 1000
Multiplication And Division 1
Multiplication And Division 2
Fractions 1
Length 1
Mass 1
Volume 1
Money 1
Time 1
Shapes And Patterns
Picture Graphs 1
Model Drawing 1
Model Drawing 4
Primary 3
Primary 4
Primary 5
Primary 6
Secondary
Secondary 1
Secondary 2
Secondary 3
Secondary 4