RD Sharma Class 6 Solutions Chapter 6 - Fractions (Ex 6.1) Exercise 6.1

The ability to understand a concept in mathematics is different for every student. That means that some students might understand the concepts perfectly by just solving the NCERT Textbook exercises and reading the concepts in the book. Some might struggle even after doing so and refer to books like RD Sharma to solve more questions and MCQs to understand the concepts better. And then, there are also some students, who after understanding the concept through NCERT, try to explore the ideas even further by solving the exercises in RD Sharma. 

Different types of students have different paces of learning. After a student has completed the chapter and its exercises in NCERT Book, they should solve RD Sharma questions as it provides excellent additional questions with easy-to-understand formulas and explanations. For RD Sharma Solutions, Class 6 Maths Study Material, and the complete syllabus, you can always check out Vedantu’s vast library curated by professionals. 

The great thing about the RD Sharma book is that it provides questions that take the concepts to the next level to help the students understand the concepts better. And here, at Vedantu, you can check out the solutions and the process of solving that question in detailed steps. Students can access these solutions online by signing in. The perk of doing this is that you can download these solutions as PDFs for offline use. 

These books help students obtain good marks in their examinations as they solidify the understanding of the concepts given in NCERT Textbooks by providing more analytical, practical, and problem solving based questions.

There are three basic types of Fractions. 

• First are, Proper Fractions, where a numerator is smaller than the denominator. E.g. 4/9 

• Secondly, we have Improper Fractions, where the numerator is greater than. The denominator. E.g. 77/3 

• And lastly, we have Mixed Fractions, which is a combination of whole and part. E.g. 2 1/3

Some of the most significant properties are: 

• Associative Property: You can change the groupings of fractions being added or multiplied without changing the overall sum. For example,

         (½ + 1/3) + ⅕ = ½ + (⅓ + 1/5)

• Commutative Property: Changing the order of fractions during addition or multiplication does not change the sum and product respectively. For example,

          ½ + ⅙ = ⅙ +½ 

• Identity Property: The additive identity property states that the sum of any fraction and 0 is the fraction itself, that is,

          3/10 + 0 = 3/10

The multiplicative identity property states that the multiplication of a fraction with 1 gives the fraction, that is,

         3/10 * 1 = 3/10

• Distributive Property: It allows us to multiply one term with a set of terms in parentheses, that is,

         ⅓ * (1+3) = (⅓ * 1) + (⅓ *3)

• Inverse Property: A multiplicative inverse is a number which when multiplied with the given term gives 1, which is also called reciprocal, that is,

          Let x is the inverse of ⅕,

          ⅕ * x = 1

          X = 1 / (1/5) = 5

These properties are later on applied in Exercises in NCERT Book and even RD Sharma’s Mathematics for Sixth Grade.

Students can access free solutions chapter-wise on Vedantu and also free online resources to improve their learning.