Comprehensive Solutions to Class 8 Maths Chapter 3 Exercise 3.3

Class 8 maths chapter 3 exercise 3.3 solutions with detailed steps to help students understand and solve problems easily. Perfect study tool!

Sure, let's break it down into user-friendly headings and sample Q&A format for "Class 8 Maths Chapter 3 Exercise 3.3 Solutions." Since this is specifically about Maths, I'll focus on 50 sample questions and answers in a simple text format.

Q: What is the simplest form of the fraction 18/24?
A: The simplest form is 3/4 after dividing the numerator and denominator by their greatest common divisor, which is 6.

Q: Convert 0.75 into a fraction.
A: 0.75 as a fraction is 3/4.

Q: How do you add 1/4 and 1/5?
A: To add these, first find a common denominator, which would be 20, making the fractions 5/20 and 4/20. Added together, they are 9/20.

Q: Subtract 2/3 from 3/4.
A: Get a common denominator, which is 12, making the fractions 9/12 and 8/12. Subtracting gives 1/12.

Q: Multiply 3/8 by 4/5.
A: Multiplying these fractions gives 3/8 * 4/5 = 12/40, which simplifies to 3/10.

Q: Divide 3/4 by 1/2.
A: Dividing these fractions involves multiplying by the reciprocal, so 3/4 divided by 1/2 is 3/4 * 2/1 = 6/4, which simplifies to 3/2 or 1 and 1/2.

Q: Find the decimal equivalent of 1/5.
A: 1/5 is equal to 0.2.

Q: What is 0.2 as a fraction?
A: 0.2 as a fraction is 1/5.

Q: If you add 0.3 and 0.6, what is the sum?
A: Adding these gives 0.9.

Q: How would you subtract 0.2 from 0.5?
A: Subtracting these decimals gives 0.3.

Q: Convert 7/8 to a decimal.
A: 7/8 as a decimal is 0.875.

Q: What is 20% as a decimal and fraction?
A: 20% as a decimal is 0.2 and as a fraction is 1/5.

Q: How do you convert 0.05 into a fraction?
A: 0.05 as a fraction is 1/20.

Q: What is the sum of 0.25 and 0.1?
A: The sum is 0.35.

Q: Subtract 0.05 from 0.1. What is the result?
A: The result is 0.05.

Q: Multiply 0.5 by 0.2. What is the product?
A: The product is 0.1.

Q: If you divide 1 by 0.5, what is the result?
A: The result is 2.

Q: Convert 9/10 to a decimal.
A: 9/10 as a decimal is 0.9.

Q: What is 0.45 as a fraction?
A: 0.45 as a fraction is 9/20.

Q: How would you add 1/3 to 0.25?
A: Convert 0.25 to a fraction (1/4), find a common denominator (12), and then add 1/3 (4/12) + 1/4 (3/12) to get 7/12.

Q: Subtract 5/6 from 1.
A: Subtracting 5/6 from 1 gives 1/6.

Q: Multiply 0.4 by 5/6. What is the product?
A: First, convert 0.4 to 2/5. Multiplying 2/5 by 5/6 gives 10/30, which simplifies to 1/3.

Q: Divide 2/3 by 4/9.
A: Dividing 2/3 by 4/9, multiply by the reciprocal (9/4), resulting in 2/3 * 9/4 = 18/12, which simplifies to 3/2.

Q: Convert the decimal 0.66 to the nearest fraction.
A: 0.66 is approximately 2/3.

Q: What is 33% as a fraction and decimal?
A: 33% as a fraction is 1/3 and as a decimal is 0.33.

Q: How would you simplify the fraction 24/36?
A: Simplifying 24/36, divide both by their greatest common divisor, 12, resulting in 2/3.

Q: Find the sum of 1/8 and 0.125.
A: Since 0.125 is 1/8, adding 1/8 + 1/8 equals 2/8 or 1/4.

Q: What is the decimal equivalent of 3/16?
A: 3/16 as a decimal is 0.1875.

Q: Subtract 1/7 from 1/2.
A: Convert to a common denominator (14), making them 7/14 and 2/14. Subtracting gives 5/14.

Q: Multiply 0.125 by 0.2.
A: The product is 0.025.

Q: Divide 3/5 by 0.6.
A: First, convert 0.6 to 3/5. Dividing 3/5 by 3/5 results in 1.

Q: Convert the fraction 5/8 to a decimal.
A: 5/8 as a decimal is 0.625.

Q: What is 0.75 as a percentage?
A: 0.75 as a percentage is 75%.

Q: How do you add 0.05 and 2/40?
A: Convert 2/40 to 0.05 and add it to 0.05, making the sum 0.1.

Q: Subtract 0.5 from 5/6.
A: Convert 0.5 to 1/2, find a common denominator (6), and subtract 3/6 from 5/6 to get 2/6, which simplifies to 1/3.

Q: Multiply 2/3 by 0.75.
A: Convert 0.75 to 3/4 and multiply, resulting in 6/12 or 1/2.

Q: Divide 4/5 by 0.8.
A: Convert 0.8 to 4/5, divide 4/5 by 4/5, resulting in 1.

Q: Convert 1/9 to a decimal.
A: 1/9 as a decimal is approximately 0.111.

Q: What is 0.11 as a fraction?
A: 0.11 as a fraction is approximately 1/9.

Q: How would you add 0.333 to 1/3?
A: Since 0.333 is approximately 1/3, adding 1/3 + 1/3 gives 2/3.

Q: Subtract 0.25 from 3/4.
A: Since 0.25 is 1/4, subtracting 1/4 from 3/4 gives 2/4, which simplifies to 1/2.

Q: Multiply 0.5 by 1/4. What is the product?
A: Multiplying these gives 0.5 * 1/4 = 0.125.

Q: Divide 1 by 3/4.
A: Dividing 1 by 3/4 involves multiplying by the reciprocal, so 1 * 4/3 = 4/3.

Q: Convert 7/20 to a decimal.
A: 7/20 as a decimal is 0.35.

Q: What is 0.85 as a fraction?
A: 0.85 as a fraction is 17/20.

Q: How would you add 1/10 to 0.1?
A: Since 0.1 is 1/10, adding 1/10 + 1/10 gives 2/10, which simplifies to 1/5.

Q: Subtract 3/8 from 1.
A: Subtracting 3/8 from 1 gives 5/8.

Q: Multiply 0.25 by 0.4. What is the product?
A: Multiplying these decimals gives 0.1.

Q: Divide 5/8 by 0.625.
A: Since 0.625 is equivalent to 5/8, dividing 5/8 by

Recommended Books for Class 8 Maths Chapter 3 Exercise 3.3 Solutions

Mathematics for Class 8 by R.D. Sharma (Dhanpat Rai Publications) - This book provides a detailed approach to fractions and decimals, focusing on problem-solving techniques that enhance a student's analytical skills.

Secondary School Mathematics for Class 8 by V. Aggarwal and R.S. Aggarwal (Bharti Bhawan Publishers) - Known for its comprehensive coverage, this book includes a variety of problems from simple to challenging, focusing on conceptual understanding.

All in One Mathematics Class 8 by Arihant Experts (Arihant Publications) - It integrates explanations with solved examples before delving into exercise solutions, which helps in reinforcing learning through practice.

Comprehensive Mathematics - Class 8 by M.L. Aggarwal (Arya Publishing Company) - This book is structured to provide a step-by-step guide to all types of questions that could appear in exams, including multiple-choice and short-answer questions.

IIT Foundation Series - Mathematics Class 8 by Trishna Knowledge Systems (Pearson) - Aimed at providing foundational support for competitive exams, this book also strengthens concepts in fractions and decimals with clear, concise explanations.

NCERT Solutions - Mathematics for Class 8 by MTG Editorial Board (MTG Learning Media) - Straight from the curriculum creators, this book offers precise answers and explanations as per the NCERT syllabus.

Concise Mathematics Class 8 by Selina Publishers - This book is perfect for gaining a deeper understanding of mathematical concepts and applying them in various situational problems.

Mathematics Class 8 by H.C. Verma (Bharati Bhavan Publishers) - Known for clarity in concepts, this book provides practical problems that help students think beyond the textbook.

Mathematics for Class 8 by Lakhmir Singh and Manjit Kaur (S. Chand Publishing) - This book includes numerous illustrative examples to help explain complex mathematics in an understandable way.

Mathematics Today for Class 8 by MTG Editorial Board (MTG Learning Media) - Besides regular syllabus exercises, it includes different competitive exam questions enhancing problem-solving skills.

Oxford New Enjoying Mathematics Class 8 by Jose Paul (Oxford University Press) - Focuses on applied mathematics, encouraging students to connect learned concepts with real-world situations.

Targeting Mathematics Class 8 by Pearson - This series provides clear, in-depth explanations of all concepts and includes a variety of exercises to test the student's knowledge.

Goyal Brothers Prakashan Mathematics for Class 8 - Known for its systematic approach, this book covers all necessary topics and includes both solved examples and practice problems.

Frank Middle School Mathematics Class 8 by Frank Bros & Co. - It provides a solid practice ground for all math concepts covered in the syllabus through extensive examples and exercises.

Golden Mathematics: With Sample Papers Class 8 by R.S. Aggarwal and J.K. Das (New Age International Publishers) - Along with exercise solutions, this book offers additional sample papers for practice to improve exam readiness.

Mathematics Textbook for Class 8 by K.S. Randhawa (Bharati Bhavan Publishers) - This book is widely used for its clear explanations and systematic presentation that aligns closely with the school curriculum.

Skills in Mathematics for Class 8 by Aashalata Badami (Orient BlackSwan) - Focuses on building analytical and computational skills that are crucial for tackling the mathematical challenges presented in the chapter.

Mental Mathematics for Class 8 by Lata Seth (S. Chand Publishing) - Emphasizes mental calculation techniques, which are pivotal in enhancing speed and accuracy in mathematics.

Each of these books offers unique approaches to tackling the exercises found in Class 8 Maths Chapter 3, specifically Exercise 3.3. Whether the need is for depth of knowledge, exam preparation, or practical application, there is a book tailored to every type of learner.

Class 8 Maths Chapter 3 Exercise 3.3 Solution: A Gateway to Mastering Fractions and Decimals

Understanding fractions and decimals forms the crux of Class 8 mathematics, with Chapter 3 focusing extensively on these concepts. Exercise 3.3, in particular, is designed to test students' proficiency and deepen their understanding through a series of increasingly complex problems. This exercise is not just about solving numerical problems; it's about developing a foundational understanding that will be crucial for higher mathematics.

The exercise covers a variety of topics from comparing and converting fractions to and from decimals, simplifying fractions, and understanding the real-world application of these numbers. Each question is crafted to push the student's understanding from theoretical knowledge to practical application, making it essential for building a solid math foundation.

For students, mastering this exercise can be seen as a stepping stone towards more advanced topics in algebra and geometry. The problems are typically structured to encourage logical reasoning and analytical thinking. For instance, students might encounter problems that require them to convert a repeating decimal into its fractional form, or simplify complex fractions involving multiple steps.

One of the key benefits of thoroughly understanding and mastering this exercise is the enhancement of problem-solving skills. The ability to break down complex problems into manageable parts is a skill that goes beyond mathematics and can help students in various academic fields and real-life situations.

For parents and educators, it's important to provide students with access to a variety of resources that can aid in understanding these concepts. Interactive tools such as educational apps and websites, along with traditional methods like practice worksheets and guidebooks, can make the learning process both fun and effective. Moreover, regular practice sessions, peer discussions, and seeking clarification on tricky problems can further enhance a student's learning curve.

Incorporating practical examples from everyday life, such as calculating money or measuring ingredients in a recipe, can also help students see the relevance of fractions and decimals outside the classroom. This not only makes the subject more interesting but also reinforces their learning through real-world applications.

By engaging with the material in Class 8 Maths Chapter 3 Exercise 3.3, students not only prepare themselves for upcoming exams but also develop a logical and analytical approach to solving problems, a skill that is invaluable in any academic or professional field.