NCERT Class 8 Maths Fractions in Disguise Exercise 1.1

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1.0Fractions in Disguise - Exercise 1.1 Class 8 Maths - Chapter 1 NCERT Solutions

Class 8 Maths Ganita Prakash 2026–27 Term 2 Chapter 1 Fractions in Disguise Exercise 1.1 NCERT Solutions provide detailed, step-by-step explanations prepared by ALLEN’s expert faculty. These solutions help students understand concepts clearly, solve problems effectively, and build a strong foundation for Class 8 Maths and competitive exams such as JEE and Olympiads.

The chapter explores different kinds of fractions, along with operations such as addition and subtraction, and their real-life applications. Exercise 1.1 focuses on converting fractions into percentages, estimating percentages without detailed calculations, and comparing fractions with percentages. Thus, it is important to rely on trustworthy solutions such as those provided by ALLEN for a better understanding of the concepts.

2.0Download Class 8 Maths Chapter 1 Ex 1.1 NCERT Solutions PDF

Download the NCERT Solutions for Exercise 1.1 provided below to refer to them anytime, anywhere.

Chapter 1 : Fractions in Disguise exercise 1.1

3.0Detailed NCERT Solutions on Fractions in Disguise Exercise 1.1 Class 8 Maths (Ganita Prakashan Term 2)

1. Express the following fractions as percentages? (i) $\frac{3}{5}$ (ii) $\frac{7}{14}$ (iii) $\frac{9}{20}$ (iv) $\frac{72}{150}$ (v) $\frac{1}{3}$ (vi) $\frac{5}{11}$

Sol. (i) $\frac{3}{5} = \frac{3}{5} \times 100% = 60%$ (ii) $\frac{7}{14} = \frac{7}{14} \times 100% = 50%$ (iii) $\frac{9}{20} = \frac{9}{20} \times 100% = 45%$ (iv) $\frac{72}{150} = \frac{72}{150} \times 100% = 48%$ (v) $\frac{1}{3} = \frac{1}{3} \times 100% = 33 \frac{1}{3} %$ (vi) $\frac{5}{11} = \frac{5}{11} \times 100% = \frac{500}{11} % = 45 \frac{5}{11} %$

2. Nandini has 25 marbles, of which 15 are white. What percentage of her marbles are white? (i) $10%$ (ii) $15%$ (iii) $25%$ (iv) $60%$ (v) $40%$ (vi) None of these

Sol. (iv) 60% Percentage of white marbles $= \frac{15}{25} \times 100% = 60%$

3. In a school, 15 of the 80 students come to school by walking. What percentage of the students come by walking? Sol. Percentage of students coming by walking $= \frac{15}{80} \times 100% = 18.75%$

4. A group of friends is participating in a long-distance run. The positions of each of them after 15 minutes are shown in the following picture. Match (among the given options) what percentage of the race each of them has approximately completed.

Sol. $A = 38%$ $B = 55%$ $C = 72%$ D = 93%

5. A pair of quantities is shown below. Identify and write appropriate symbols '>', '<', '=' in the blanks. Try to do it without calculations. (i) $50%$ $____$ 5% (ii) $\frac{5}{10} - 50%$ (iii) $\frac{3}{11} - 61%$ (iv) $30% - \frac{1}{3}$

Sol. (i) $50% > 5%$ (ii) Since, $\frac{5}{10} = \frac{1}{2} \Rightarrow \frac{1}{2} \times 100 = 50%$

$∴ \frac{5}{10} = 50%$

(iii) Since $\frac{3}{11} \times 100$

$\Rightarrow \frac{300}{11} = 27.27% ∴ \frac{3}{11} < 61%$

(iv) Since, $\frac{1}{3} \times 100 = 33.33%$

$∴ 30% < \frac{1}{3}$

4.0Key Concepts of Chapter 1- Fractions in Disguise Exercise 1.1

Class 8 maths, Fractions in Disguise Exercise 1.1, introduces the important concepts of:

Fractions and percentages: Knowing that a percentage is a fraction with 100 as its denominator.
Fractions into Percentages: To convert a fraction to a percentage, multiply the fraction by 100%.
Percentage of a quantity: Finding out what proportion a certain amount is of the total amount.
Fractions with different denominators: Convert fractions into percentages to compare easier.
Comparing fractions and percentages: Using equivalent forms or estimation to determine if one value is greater than, less than, or equal to another.
Estimation of percentages: The ability to estimate approximate percentage values without necessarily performing detailed calculations.
Percentages in real life: Applying the ideas of percentages to situations involving quantities, distances, marks etc.

5.0Benefits of NCERT Solutions Class 8 Maths Chapter 1 Exercise 1.1

Provides simple and easy-to-follow instructions for writing fractions as percentages.
The questions in the exercise help learners understand the relation between fractions and percentages.
Provides solutions to questions about the percentage representation of quantities and parts of a whole.
Shows how to compare fractions and percentages using equivalent forms and estimation.
Assists students in relating percentage concepts to situations involving quantities and common examples.
Estimation-based questions are explained so that students can calculate approximate percentage values without lengthy calculations.
Shows how to solve different types of fraction and percentage problems in Exercise 1.1
Helps students revise the key ideas of fractions as percentages through the exercise questions.

NCERT Class 8 Maths Ch. 1 Fractions in Disguise Other Exercises:-

Exercise 1.1

NCERT Solutions Class 8 Maths All Chapters:-

Chapter 1 : Fractions in Disguise

Chapter 2 : The Baudhayana - The Pythagoras Theorem

Chapter 3 : Proportional Reasoning - 2

Chapter 4 : Exploring Some Geometric Themes

Chapter 5 : Tales by Dots and Lines

Chapter 6 : Algebra Play

Chapter 7 : Area

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I authorise ALLEN Career Institute Pvt Ltd to send me regular updates via Phone calls, Whatsapp, SMS, Robocalls (Automated Calls), Emails, or on postal address.

1.0Fractions in Disguise - Exercise 1.1 Class 8 Maths - Chapter 1 NCERT Solutions

Class 8 Maths Ganita Prakash 2026–27 Term 2 Chapter 1 Fractions in Disguise Exercise 1.1 NCERT Solutions provide detailed, step-by-step explanations prepared by ALLEN’s expert faculty. These solutions help students understand concepts clearly, solve problems effectively, and build a strong foundation for Class 8 Maths and competitive exams such as JEE and Olympiads.

The chapter explores different kinds of fractions, along with operations such as addition and subtraction, and their real-life applications. Exercise 1.1 focuses on converting fractions into percentages, estimating percentages without detailed calculations, and comparing fractions with percentages. Thus, it is important to rely on trustworthy solutions such as those provided by ALLEN for a better understanding of the concepts.

2.0Download Class 8 Maths Chapter 1 Ex 1.1 NCERT Solutions PDF

Download the NCERT Solutions for Exercise 1.1 provided below to refer to them anytime, anywhere.

Chapter 1 : Fractions in Disguise exercise 1.1

3.0Detailed NCERT Solutions on Fractions in Disguise Exercise 1.1 Class 8 Maths (Ganita Prakashan Term 2)

1. Express the following fractions as percentages? (i) $\frac{3}{5}$ (ii) $\frac{7}{14}$ (iii) $\frac{9}{20}$ (iv) $\frac{72}{150}$ (v) $\frac{1}{3}$ (vi) $\frac{5}{11}$

Sol. (i) $\frac{3}{5} = \frac{3}{5} \times 100% = 60%$ (ii) $\frac{7}{14} = \frac{7}{14} \times 100% = 50%$ (iii) $\frac{9}{20} = \frac{9}{20} \times 100% = 45%$ (iv) $\frac{72}{150} = \frac{72}{150} \times 100% = 48%$ (v) $\frac{1}{3} = \frac{1}{3} \times 100% = 33 \frac{1}{3} %$ (vi) $\frac{5}{11} = \frac{5}{11} \times 100% = \frac{500}{11} % = 45 \frac{5}{11} %$

2. Nandini has 25 marbles, of which 15 are white. What percentage of her marbles are white? (i) $10%$ (ii) $15%$ (iii) $25%$ (iv) $60%$ (v) $40%$ (vi) None of these

Sol. (iv) 60% Percentage of white marbles $= \frac{15}{25} \times 100% = 60%$

3. In a school, 15 of the 80 students come to school by walking. What percentage of the students come by walking? Sol. Percentage of students coming by walking $= \frac{15}{80} \times 100% = 18.75%$

4. A group of friends is participating in a long-distance run. The positions of each of them after 15 minutes are shown in the following picture. Match (among the given options) what percentage of the race each of them has approximately completed.

Sol. $A = 38%$ $B = 55%$ $C = 72%$ D = 93%

5. A pair of quantities is shown below. Identify and write appropriate symbols '>', '<', '=' in the blanks. Try to do it without calculations. (i) $50%$ $____$ 5% (ii) $\frac{5}{10} - 50%$ (iii) $\frac{3}{11} - 61%$ (iv) $30% - \frac{1}{3}$

Sol. (i) $50% > 5%$ (ii) Since, $\frac{5}{10} = \frac{1}{2} \Rightarrow \frac{1}{2} \times 100 = 50%$

$∴ \frac{5}{10} = 50%$

(iii) Since $\frac{3}{11} \times 100$

$\Rightarrow \frac{300}{11} = 27.27% ∴ \frac{3}{11} < 61%$

(iv) Since, $\frac{1}{3} \times 100 = 33.33%$

$∴ 30% < \frac{1}{3}$

4.0Key Concepts of Chapter 1- Fractions in Disguise Exercise 1.1

Class 8 maths, Fractions in Disguise Exercise 1.1, introduces the important concepts of:

Fractions and percentages: Knowing that a percentage is a fraction with 100 as its denominator.
Fractions into Percentages: To convert a fraction to a percentage, multiply the fraction by 100%.
Percentage of a quantity: Finding out what proportion a certain amount is of the total amount.
Fractions with different denominators: Convert fractions into percentages to compare easier.
Comparing fractions and percentages: Using equivalent forms or estimation to determine if one value is greater than, less than, or equal to another.
Estimation of percentages: The ability to estimate approximate percentage values without necessarily performing detailed calculations.
Percentages in real life: Applying the ideas of percentages to situations involving quantities, distances, marks etc.

5.0Benefits of NCERT Solutions Class 8 Maths Chapter 1 Exercise 1.1

Provides simple and easy-to-follow instructions for writing fractions as percentages.
The questions in the exercise help learners understand the relation between fractions and percentages.
Provides solutions to questions about the percentage representation of quantities and parts of a whole.
Shows how to compare fractions and percentages using equivalent forms and estimation.
Assists students in relating percentage concepts to situations involving quantities and common examples.
Estimation-based questions are explained so that students can calculate approximate percentage values without lengthy calculations.
Shows how to solve different types of fraction and percentage problems in Exercise 1.1
Helps students revise the key ideas of fractions as percentages through the exercise questions.

Frequently Asked Questions

What does Class 8 Maths Chapter 1 Exercise 1.1 cover?

How can I solve Class 8 Maths Chapter 1 Exercise 1.1?

Where can I find NCERT Class 8 Maths Chapter 1 Exercise 1.1 solutions?

Why should I practise Exercise 1.1?

Why should I practise Exercise 1.1?

What concepts should I revise before Exercise 1.1?

Are NCERT Solutions useful for Class 8 Maths revision?

Join ALLEN!

1.0Fractions in Disguise - Exercise 1.1 Class 8 Maths - Chapter 1 NCERT Solutions

2.0Download Class 8 Maths Chapter 1 Ex 1.1 NCERT Solutions PDF

3.0Detailed NCERT Solutions on Fractions in Disguise Exercise 1.1 Class 8 Maths (Ganita Prakashan Term 2)

4.0Key Concepts of Chapter 1- Fractions in Disguise Exercise 1.1

5.0Benefits of NCERT Solutions Class 8 Maths Chapter 1 Exercise 1.1

Frequently Asked Questions

What does Class 8 Maths Chapter 1 Exercise 1.1 cover?

How can I solve Class 8 Maths Chapter 1 Exercise 1.1?

Where can I find NCERT Class 8 Maths Chapter 1 Exercise 1.1 solutions?

Why should I practise Exercise 1.1?

Why should I practise Exercise 1.1?

What concepts should I revise before Exercise 1.1?

Are NCERT Solutions useful for Class 8 Maths revision?

Join ALLEN!

1.0Fractions in Disguise - Exercise 1.1 Class 8 Maths - Chapter 1 NCERT Solutions

2.0Download Class 8 Maths Chapter 1 Ex 1.1 NCERT Solutions PDF

3.0Detailed NCERT Solutions on Fractions in Disguise Exercise 1.1 Class 8 Maths (Ganita Prakashan Term 2)

4.0Key Concepts of Chapter 1- Fractions in Disguise Exercise 1.1

5.0Benefits of NCERT Solutions Class 8 Maths Chapter 1 Exercise 1.1