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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 \(1\over2\).
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?
- 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
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