Open App

Class 6 Exam > Class 6 Notes > Mathematics (Maths) Class 6 > RD Sharma Solutions: Fractions (Exercise 6.6)

Fractions (Exercise 6.6) RD Sharma Solutions | Mathematics (Maths) Class 6 PDF Download

Download, print and study this document offline

Please wait while the PDF view is loading

 Page 1


 
 
 
 
 
 
Exercise 6.6                                                                            PAGE: 6.19 
Reduce each of the following fractions to its lowest term (simplest form): 
1. (i) 40/75 
(ii) 42/28 
(iii) 12/52 
(iv) 40/72 
(v) 80/24 
(vi) 84/56 
Solution: 
 
(i) 40/75 
We know that 
Factors of 40 are 
1, 2, 4, 5, 8, 10, 20 and 40 
Factors of 75 are 
1, 3, 5, 15 and 75 
So the common factors are 1 and 5 
We get HCF = 5 
By dividing numerator and denominator by 5 
40/75 ÷ 5/5 = 8/15 
 
Hence, the simplest form of 40/75 is 8/15. 
 
(ii) 42/28 
We know that 
Factors of 42 are 
1, 2, 3, 6, 7, 14, 21 and 42 
Factors of 28 are 
1, 2, 4, 7, 14 and 28 
So the common factors are 1, 2 and 14 
We get HCF = 14 
By dividing numerator and denominator by 14 
42/28 ÷ 14/14 = 3/2 
 
Hence, the simplest form of 42/28 is 3/2. 
 
(iii) 12/52 
We know that 
Factors of 12 are 
1, 2, 3, 4, 6 and 12 
Factors of 52 are 
1, 2, 4, 13, 26 and 52 
So the common factors are 1, 2 and 4 
We get HCF = 4 
By dividing numerator and denominator by 4 
12/52 ÷ 4/4 = 3/13 
 
Hence, the simplest form of 12/52 is 3/13. 
 
Page 2


 
 
 
 
 
 
Exercise 6.6                                                                            PAGE: 6.19 
Reduce each of the following fractions to its lowest term (simplest form): 
1. (i) 40/75 
(ii) 42/28 
(iii) 12/52 
(iv) 40/72 
(v) 80/24 
(vi) 84/56 
Solution: 
 
(i) 40/75 
We know that 
Factors of 40 are 
1, 2, 4, 5, 8, 10, 20 and 40 
Factors of 75 are 
1, 3, 5, 15 and 75 
So the common factors are 1 and 5 
We get HCF = 5 
By dividing numerator and denominator by 5 
40/75 ÷ 5/5 = 8/15 
 
Hence, the simplest form of 40/75 is 8/15. 
 
(ii) 42/28 
We know that 
Factors of 42 are 
1, 2, 3, 6, 7, 14, 21 and 42 
Factors of 28 are 
1, 2, 4, 7, 14 and 28 
So the common factors are 1, 2 and 14 
We get HCF = 14 
By dividing numerator and denominator by 14 
42/28 ÷ 14/14 = 3/2 
 
Hence, the simplest form of 42/28 is 3/2. 
 
(iii) 12/52 
We know that 
Factors of 12 are 
1, 2, 3, 4, 6 and 12 
Factors of 52 are 
1, 2, 4, 13, 26 and 52 
So the common factors are 1, 2 and 4 
We get HCF = 4 
By dividing numerator and denominator by 4 
12/52 ÷ 4/4 = 3/13 
 
Hence, the simplest form of 12/52 is 3/13. 
 
 
 
 
 
 
 
(iv) 40/72 
We know that 
Factors of 40 are 
1, 2, 4, 5, 8, 10, 20 and 40 
Factors of 72 are 
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72 
So the common factors are 1, 2, 4 and 8 
We get HCF = 8 
By dividing numerator and denominator by 8 
40/72 ÷ 8/8 = 5/9 
 
Hence, the simplest form of 40/72 is 5/9. 
 
(v) 80/24 
We know that 
Factors of 80 are 
1, 2, 4, 5, 8, 10, 16, 20, 40 and 80 
Factors of 24 are 
1, 2, 3, 4, 6, 8, 12 and 24 
So the common factors are 1, 2, 4 and 8 
We get HCF = 8 
By dividing numerator and denominator by 8 
80/24 ÷ 8/8 = 10/3 
 
Hence, the simplest form of 80/24 is 10/3. 
 
(vi) 84/56 
We know that 
Factors of 84 are 
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84 
Factors of 56 are 
1, 2, 4, 7, 8, 14, 28 and 56 
So the common factors are 1, 2, 4, 7, 14 and 28 
We get HCF = 28 
By dividing numerator and denominator by 28 
84/56 ÷ 28/28 = 3/2 
 
Hence, the simplest form of 84/56 is 3/2. 
 
2. Simplify each of the following to its lowest term: 
(i) 75/80 
(ii) 52/76 
(iii) 84/98 
(iv) 68/17 
(v) 150/50 
(vi) 162/108 
Solution: 
 
(i) 75/80 
We know that 
Page 3


 
 
 
 
 
 
Exercise 6.6                                                                            PAGE: 6.19 
Reduce each of the following fractions to its lowest term (simplest form): 
1. (i) 40/75 
(ii) 42/28 
(iii) 12/52 
(iv) 40/72 
(v) 80/24 
(vi) 84/56 
Solution: 
 
(i) 40/75 
We know that 
Factors of 40 are 
1, 2, 4, 5, 8, 10, 20 and 40 
Factors of 75 are 
1, 3, 5, 15 and 75 
So the common factors are 1 and 5 
We get HCF = 5 
By dividing numerator and denominator by 5 
40/75 ÷ 5/5 = 8/15 
 
Hence, the simplest form of 40/75 is 8/15. 
 
(ii) 42/28 
We know that 
Factors of 42 are 
1, 2, 3, 6, 7, 14, 21 and 42 
Factors of 28 are 
1, 2, 4, 7, 14 and 28 
So the common factors are 1, 2 and 14 
We get HCF = 14 
By dividing numerator and denominator by 14 
42/28 ÷ 14/14 = 3/2 
 
Hence, the simplest form of 42/28 is 3/2. 
 
(iii) 12/52 
We know that 
Factors of 12 are 
1, 2, 3, 4, 6 and 12 
Factors of 52 are 
1, 2, 4, 13, 26 and 52 
So the common factors are 1, 2 and 4 
We get HCF = 4 
By dividing numerator and denominator by 4 
12/52 ÷ 4/4 = 3/13 
 
Hence, the simplest form of 12/52 is 3/13. 
 
 
 
 
 
 
 
(iv) 40/72 
We know that 
Factors of 40 are 
1, 2, 4, 5, 8, 10, 20 and 40 
Factors of 72 are 
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72 
So the common factors are 1, 2, 4 and 8 
We get HCF = 8 
By dividing numerator and denominator by 8 
40/72 ÷ 8/8 = 5/9 
 
Hence, the simplest form of 40/72 is 5/9. 
 
(v) 80/24 
We know that 
Factors of 80 are 
1, 2, 4, 5, 8, 10, 16, 20, 40 and 80 
Factors of 24 are 
1, 2, 3, 4, 6, 8, 12 and 24 
So the common factors are 1, 2, 4 and 8 
We get HCF = 8 
By dividing numerator and denominator by 8 
80/24 ÷ 8/8 = 10/3 
 
Hence, the simplest form of 80/24 is 10/3. 
 
(vi) 84/56 
We know that 
Factors of 84 are 
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84 
Factors of 56 are 
1, 2, 4, 7, 8, 14, 28 and 56 
So the common factors are 1, 2, 4, 7, 14 and 28 
We get HCF = 28 
By dividing numerator and denominator by 28 
84/56 ÷ 28/28 = 3/2 
 
Hence, the simplest form of 84/56 is 3/2. 
 
2. Simplify each of the following to its lowest term: 
(i) 75/80 
(ii) 52/76 
(iii) 84/98 
(iv) 68/17 
(v) 150/50 
(vi) 162/108 
Solution: 
 
(i) 75/80 
We know that 
 
 
 
 
 
 
Factors of 75 are  
1, 3, 5, 15, 25 and 75 
Factors of 80 are  
1, 2, 4, 5, 8, 10, 12, 16, 20, 40 and 80 
So the common factors are 1 and 5 
We get HCF = 5 
By dividing numerator and denominator by 5 
75/80 ÷ 5/5 = 15/16 
Hence, the simplest form of 75/80 is 15/16. 
 
(ii) 52/76 
We know that 
Factors of 52 are  
1, 2, 4, 13, 26 and 52 
Factors of 76 are  
1, 2, 4, 19, 38 and 76 
So the common factors are 1, 2 and 4 
We get HCF = 4 
By dividing numerator and denominator by 4 
52/76 ÷ 4/4 = 13/19 
Hence, the simplest form of 52/76 is 13/19. 
 
(iii) 84/98 
We know that 
Factors of 84 are  
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84 
Factors of 98 are  
1, 2, 7, 14, 49 and 98 
So the common factors are 1, 2, 7 and 14 
We get HCF = 14 
By dividing numerator and denominator by 14 
84/98 ÷ 14/14 = 6/7 
Hence, the simplest form of 84/98 is 6/7. 
 
(iv) 68/17 
We know that 
Factors of 68 are  
1, 2, 4, 17, 34 and 68 
Factors of 17 are  
1 and 17 
So the common factors are 1 and 17 
We get HCF = 17 
By dividing numerator and denominator by 17 
68/17 ÷ 17/17 = 4/1 
Hence, the simplest form of 68/17 is 4/1. 
 
(v) 150/50 
We know that 
Factors of 150 are  
1, 2, 3, 5, 6, 10, 15, 25, 50 and 150 
Page 4


 
 
 
 
 
 
Exercise 6.6                                                                            PAGE: 6.19 
Reduce each of the following fractions to its lowest term (simplest form): 
1. (i) 40/75 
(ii) 42/28 
(iii) 12/52 
(iv) 40/72 
(v) 80/24 
(vi) 84/56 
Solution: 
 
(i) 40/75 
We know that 
Factors of 40 are 
1, 2, 4, 5, 8, 10, 20 and 40 
Factors of 75 are 
1, 3, 5, 15 and 75 
So the common factors are 1 and 5 
We get HCF = 5 
By dividing numerator and denominator by 5 
40/75 ÷ 5/5 = 8/15 
 
Hence, the simplest form of 40/75 is 8/15. 
 
(ii) 42/28 
We know that 
Factors of 42 are 
1, 2, 3, 6, 7, 14, 21 and 42 
Factors of 28 are 
1, 2, 4, 7, 14 and 28 
So the common factors are 1, 2 and 14 
We get HCF = 14 
By dividing numerator and denominator by 14 
42/28 ÷ 14/14 = 3/2 
 
Hence, the simplest form of 42/28 is 3/2. 
 
(iii) 12/52 
We know that 
Factors of 12 are 
1, 2, 3, 4, 6 and 12 
Factors of 52 are 
1, 2, 4, 13, 26 and 52 
So the common factors are 1, 2 and 4 
We get HCF = 4 
By dividing numerator and denominator by 4 
12/52 ÷ 4/4 = 3/13 
 
Hence, the simplest form of 12/52 is 3/13. 
 
 
 
 
 
 
 
(iv) 40/72 
We know that 
Factors of 40 are 
1, 2, 4, 5, 8, 10, 20 and 40 
Factors of 72 are 
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72 
So the common factors are 1, 2, 4 and 8 
We get HCF = 8 
By dividing numerator and denominator by 8 
40/72 ÷ 8/8 = 5/9 
 
Hence, the simplest form of 40/72 is 5/9. 
 
(v) 80/24 
We know that 
Factors of 80 are 
1, 2, 4, 5, 8, 10, 16, 20, 40 and 80 
Factors of 24 are 
1, 2, 3, 4, 6, 8, 12 and 24 
So the common factors are 1, 2, 4 and 8 
We get HCF = 8 
By dividing numerator and denominator by 8 
80/24 ÷ 8/8 = 10/3 
 
Hence, the simplest form of 80/24 is 10/3. 
 
(vi) 84/56 
We know that 
Factors of 84 are 
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84 
Factors of 56 are 
1, 2, 4, 7, 8, 14, 28 and 56 
So the common factors are 1, 2, 4, 7, 14 and 28 
We get HCF = 28 
By dividing numerator and denominator by 28 
84/56 ÷ 28/28 = 3/2 
 
Hence, the simplest form of 84/56 is 3/2. 
 
2. Simplify each of the following to its lowest term: 
(i) 75/80 
(ii) 52/76 
(iii) 84/98 
(iv) 68/17 
(v) 150/50 
(vi) 162/108 
Solution: 
 
(i) 75/80 
We know that 
 
 
 
 
 
 
Factors of 75 are  
1, 3, 5, 15, 25 and 75 
Factors of 80 are  
1, 2, 4, 5, 8, 10, 12, 16, 20, 40 and 80 
So the common factors are 1 and 5 
We get HCF = 5 
By dividing numerator and denominator by 5 
75/80 ÷ 5/5 = 15/16 
Hence, the simplest form of 75/80 is 15/16. 
 
(ii) 52/76 
We know that 
Factors of 52 are  
1, 2, 4, 13, 26 and 52 
Factors of 76 are  
1, 2, 4, 19, 38 and 76 
So the common factors are 1, 2 and 4 
We get HCF = 4 
By dividing numerator and denominator by 4 
52/76 ÷ 4/4 = 13/19 
Hence, the simplest form of 52/76 is 13/19. 
 
(iii) 84/98 
We know that 
Factors of 84 are  
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84 
Factors of 98 are  
1, 2, 7, 14, 49 and 98 
So the common factors are 1, 2, 7 and 14 
We get HCF = 14 
By dividing numerator and denominator by 14 
84/98 ÷ 14/14 = 6/7 
Hence, the simplest form of 84/98 is 6/7. 
 
(iv) 68/17 
We know that 
Factors of 68 are  
1, 2, 4, 17, 34 and 68 
Factors of 17 are  
1 and 17 
So the common factors are 1 and 17 
We get HCF = 17 
By dividing numerator and denominator by 17 
68/17 ÷ 17/17 = 4/1 
Hence, the simplest form of 68/17 is 4/1. 
 
(v) 150/50 
We know that 
Factors of 150 are  
1, 2, 3, 5, 6, 10, 15, 25, 50 and 150 
 
 
 
 
 
 
Factors of 50 are  
1, 2, 5, 10, 25 and 50 
So the common factors are 1, 2, 5, 10, 25 and 50  
We get HCF = 50 
By dividing numerator and denominator by 50 
150/50 ÷ 50/50 = 3/1 
Hence, the simplest form of 150/50 is 3/1. 
 
(vi) 162/108 
We know that 
Factors of 162 are  
1, 2, 3, 6, 9, 18, 27, 54, 81 and 162 
Factors of 108 are  
1, 2, 3, 4, 6, 9, 12, 18, 27 and 54 
So the common factors are 1, 2, 3, 6, 9, 18, 27 and 54 
We get HCF = 54 
By dividing numerator and denominator by 54 
162/108 ÷ 54/54 = 3/2 
Hence, the simplest form of 162/108 is 3/2.

	Mathematics (Maths) Class 6 94 videos\|347 docs\|54 tests

Mathematics (Maths) Class 6

94 videos|347 docs|54 tests

Join Course for Free

Top Courses for Class 6

View all

Related Exams

Class 6

About this Document

	4.88/5 Rating
	Oct 24, 2024 Last updated

Document Description: RD Sharma Solutions: Fractions (Exercise 6.6) for Class 6 2024 is part of Mathematics (Maths) Class 6 preparation. The notes and questions for RD Sharma Solutions: Fractions (Exercise 6.6) have been prepared according to the Class 6 exam syllabus. Information about RD Sharma Solutions: Fractions (Exercise 6.6) covers topics like and RD Sharma Solutions: Fractions (Exercise 6.6) Example, for Class 6 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for RD Sharma Solutions: Fractions (Exercise 6.6).

Introduction of RD Sharma Solutions: Fractions (Exercise 6.6) in English is available as part of our Mathematics (Maths) Class 6 for Class 6 & RD Sharma Solutions: Fractions (Exercise 6.6) in Hindi for Mathematics (Maths) Class 6 course. Download more important topics related with notes, lectures and mock test series for Class 6 Exam by signing up for free. Class 6: Fractions (Exercise 6.6) RD Sharma Solutions | Mathematics (Maths) Class 6

Description

Full syllabus notes, lecture & questions for Fractions (Exercise 6.6) RD Sharma Solutions | Mathematics (Maths) Class 6 - Class 6 | Plus excerises question with solution to help you revise complete syllabus for Mathematics (Maths) Class 6 | Best notes, free PDF download

Information about RD Sharma Solutions: Fractions (Exercise 6.6)

In this doc you can find the meaning of RD Sharma Solutions: Fractions (Exercise 6.6) defined & explained in the simplest way possible. Besides explaining types of RD Sharma Solutions: Fractions (Exercise 6.6) theory, EduRev gives you an ample number of questions to practice RD Sharma Solutions: Fractions (Exercise 6.6) tests, examples and also practice Class 6 tests

	Mathematics (Maths) Class 6 94 videos\|347 docs\|54 tests

Mathematics (Maths) Class 6

94 videos|347 docs|54 tests

Join Course for Free

Download as PDF

Explore Courses for Class 6 exam

Top Courses for Class 6

Explore Courses

Signup for Free!

Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.

Start learning for Free

10M+ students study on EduRev

Free

MCQs

past year papers

Objective type Questions

Fractions (Exercise 6.6) RD Sharma Solutions | Mathematics (Maths) Class 6

Semester Notes

Fractions (Exercise 6.6) RD Sharma Solutions | Mathematics (Maths) Class 6

Viva Questions

Exam

Important questions

study material

video lectures

ppt

practice quizzes

Extra Questions

Sample Paper

Summary

mock tests for examination

pdf

shortcuts and tricks

Previous Year Questions with Solutions

;

Additional Information about RD Sharma Solutions: Fractions (Exercise 6.6) for Class 6 Preparation

RD Sharma Solutions: Fractions (Exercise 6.6) Free PDF Download

The RD Sharma Solutions: Fractions (Exercise 6.6) is an invaluable resource that delves deep into the core of the Class 6 exam. These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective. With the help of these notes, you can grasp complex subjects quickly, revise important points easily, and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner, allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material, or toppers' notes, this PDF has got you covered. Download the RD Sharma Solutions: Fractions (Exercise 6.6) now and kickstart your journey towards success in the Class 6 exam.

Importance of RD Sharma Solutions: Fractions (Exercise 6.6)

The importance of RD Sharma Solutions: Fractions (Exercise 6.6) cannot be overstated, especially for Class 6 aspirants. This document holds the key to success in the Class 6 exam. It offers a detailed understanding of the concept, providing invaluable insights into the topic. By knowing the concepts well in advance, students can plan their preparation effectively. Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.

RD Sharma Solutions: Fractions (Exercise 6.6) Notes

RD Sharma Solutions: Fractions (Exercise 6.6) Notes offer in-depth insights into the specific topic to help you master it with ease. This comprehensive document covers all aspects related to RD Sharma Solutions: Fractions (Exercise 6.6). It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation. Practice papers and question papers enable you to assess your progress effectively. Additionally, the paper analysis provides valuable tips for tackling the exam strategically. Access to Toppers' notes gives you an edge in understanding complex concepts. Whether you're a beginner or aiming for advanced proficiency, RD Sharma Solutions: Fractions (Exercise 6.6) Notes on EduRev are your ultimate resource for success.

RD Sharma Solutions: Fractions (Exercise 6.6) Class 6 Questions

The "RD Sharma Solutions: Fractions (Exercise 6.6) Class 6 Questions" guide is a valuable resource for all aspiring students preparing for the Class 6 exam. It focuses on providing a wide range of practice questions to help students gauge their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation. The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level. Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.

Study RD Sharma Solutions: Fractions (Exercise 6.6) on the App

Students of Class 6 can study RD Sharma Solutions: Fractions (Exercise 6.6) alongwith tests & analysis from the EduRev app, which will help them while preparing for their exam. Apart from the RD Sharma Solutions: Fractions (Exercise 6.6), students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc. The EduRev App will make your learning easier as you can access it from anywhere you want. The content of RD Sharma Solutions: Fractions (Exercise 6.6) is prepared as per the latest Class 6 syllabus.

Education Revolution