# 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 $1\over2$

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

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