# Fractions 1

In this article, we will learn about Fractions. The learning objectives are:

- Understanding fractions
- 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.

**Answer:**

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?

- A
- B
- C
- D

**Solution:**

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

**Answer:**

(1) A

**Question 2: **

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

- A
- B
- C
- D

**Solution: **

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

**Answer:**

(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.

**Answer:**

\(\frac{1} {4}\)

**Answer:**

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

**Question 1: **

What fraction of the figure is shaded?

- \(\frac{1} {2}\)
- \(\frac{2} {4}\)
- \(\frac{4} {6}\)
- \(\frac{2} {6}\)

**Solution:**

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

**Answer:**

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

**Question 2: **

What fraction of the figure is shaded?

- \(\frac{2} {8}\)
- \(\frac{2} {16}\)
- \(\frac{3} {16}\)
- \(\frac{3} {8}\)

**Solution: **

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

**Answer:**

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

**Question 3: **

What fraction of the figure is not shaded?

- \(\frac{1} {2}\)
- \(\frac{2} {4}\)
- \(\frac{3} {4}\)
- \(\frac{1} {4}\)

**Solution: **

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

**Answer:**

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

**Question 4: **

What fraction of the figure is not shaded?

- \(\frac{4} {9}\)
- \(\frac{5} {8}\)
- \(\frac{5} {9}\)
- \(\frac{1} {9}\)

**Solution: **

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

**Answer:**

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

**Challenge yourself:**

**Question 1: **

What fraction of the figure is shaded?

- \(\frac{3} {7}\)
- \(\frac{3} {4}\)
- \(\frac{5} {12}\)
- \(\frac{7} {12}\)

**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 \(= 5\)

**Answer: **

(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
- 2
- 3
- 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.

**Answer:**

(2) 2

In this article, we have learnt Fractions:

- Understanding Fractions
- Writing Fractions