Answer

Verified

347.1k+ views

**Hint:**We need to find the fraction of each of the shaded parts. We start to solve the question by finding out the number of shaded portions and the total number of portions of each figure. Then, the ratio of the number of shaded portions to the total number of portions to get the desired result.

**Complete step-by-step solution:**

We are given a few figures and are asked to find the fraction of each of the shaded parts. We will be solving the given question by finding out the ratio of the number of shaded portions to the total number of portions.

A fraction, in mathematics, represents a part of a whole thing. It consists of two parts namely,

numerator, denominator.

The number on the top is called the numerator.

The number on the bottom is called the denominator.

Let us understand the concept of the fraction with an example as follows,

Example:

$\Rightarrow \dfrac{a}{b}$

In the above fraction,

$a$ is the numerator of the fraction

$b$ is the denominator of the fraction

According to the question,

We need to find the fraction of each of the shaded parts.

(i)

In the above figure,

The total number of portions is equal to 7.

The number of shaded portions is equal to 4.

The fraction of each of the shaded parts is given as follows,

$\Rightarrow \dfrac{\text{number of shaded portions}}{\text{total number of portions}}$

Substituting the values, we get,

$\Rightarrow \dfrac{4}{7}$

(ii)

In the above figure,

The total number of portions is equal to 8.

The number of shaded portions is equal to 3.

The fraction of each of the shaded parts is given as follows,

$\Rightarrow \dfrac{\text{number of shaded portions}}{\text{total number of portions}}$

Substituting the values, we get,

$\Rightarrow \dfrac{3}{8}$

(iii)

In the above figure,

The total number of triangles formed in the above figure is 8. So, the total number of portions is equal to 8.

The number of shaded portions is equal to 1.

The fraction of each of the shaded parts is given as follows,

$\Rightarrow \dfrac{\text{number of shaded portions}}{\text{total number of portions}}$

Substituting the values, we get,

$\Rightarrow \dfrac{1}{8}$

(iv)

In the above figure,

The total number of portions is equal to 4.

The number of shaded portions is equal to 1.

The fraction of each of the shaded parts is given as follows,

$\Rightarrow \dfrac{\text{number of shaded portions}}{\text{total number of portions}}$

Substituting the values, we get,

$\Rightarrow \dfrac{1}{4}$

(v)

In the above figure,

The total number of portions is equal to 6.

The number of shaded portions is equal to 1.

The fraction of each of the shaded parts is given as follows,

$\Rightarrow \dfrac{\text{number of shaded portions}}{\text{total number of portions}}$

Substituting the values, we get,

$\Rightarrow \dfrac{1}{6}$

(vi)

In the above figure,

The total number of portions is equal to 10.

The number of shaded portions is equal to 3.

The fraction of each of the shaded parts is given as follows,

$\Rightarrow \dfrac{\text{number of shaded portions}}{\text{total number of portions}}$

Substituting the values, we get,

$\Rightarrow \dfrac{3}{10}$

(vii)

In the above figure,

The total number of portions is equal to 7.

The number of shaded portions is equal to 3.

The fraction of each of the shaded parts is given as follows,

$\Rightarrow \dfrac{\text{number of shaded portions}}{\text{total number of portions}}$

Substituting the values, we get,

$\Rightarrow \dfrac{3}{7}$

(viii)

In the above figure,

The total number of portions is equal to 4.

The number of shaded portions is equal to 2.

The fraction of each of the shaded parts is given as follows,

$\Rightarrow \dfrac{\text{number of shaded portions}}{\text{total number of portions}}$

Substituting the values, we get,

$\Rightarrow \dfrac{2}{4}$

(ix)

In the above figure,

The total number of portions is equal to 9.

The number of shaded portions is equal to 4.

The fraction of each of the shaded parts is given as follows,

$\Rightarrow \dfrac{\text{number of shaded portions}}{\text{total number of portions}}$

Substituting the values, we get,

$\Rightarrow \dfrac{4}{9}$

**Note:**The given question is a direct formula based and any mistake in writing the formula to find the fraction of each shaded part will result in an incorrect solution. We must be careful while counting the total number of portions and the number of shaded portions in the figure to get precise results.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Why Are Noble Gases NonReactive class 11 chemistry CBSE

Let X and Y be the sets of all positive divisors of class 11 maths CBSE

Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE

Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE

Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE

Trending doubts

Which are the Top 10 Largest Countries of the World?

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

How many crores make 10 million class 7 maths CBSE

The 3 + 3 times 3 3 + 3 What is the right answer and class 8 maths CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Difference Between Plant Cell and Animal Cell

Give 10 examples for herbs , shrubs , climbers , creepers

Change the following sentences into negative and interrogative class 10 english CBSE

Write a letter to the principal requesting him to grant class 10 english CBSE