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Fractions 1

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

  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. 

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 \(1\over2\)

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. 

Answer:

(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. 

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.

  1.  


 

Answer:

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

 

  1.  


 

 

Answer:

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


 

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. 

Answer:

(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. 

Answer:

(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. 

Answer:

(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. 

Answer:

(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 \(= 5\)

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. 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. 

Answer:

(2) 2


 

In this article, we have learnt Fractions:

  • 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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