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RD Sharma Class 6 Solutions Chapter 6 - Fractions (Ex 6.5) Exercise 6.5

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Last updated date: 23rd May 2024
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RD Sharma Class 6 Solutions Chapter 6 - Fractions (Ex 6.5) Exercise 6.5 - Free PDF

Free PDF download of RD Sharma Class 6 Solutions Chapter 6 - Fractions Exercise 6.5 solved by Expert Mathematics Teachers on Vedantu. All Chapter 6 - Fractions Ex 6.5 Questions with Solutions for RD Sharma Class 6 Maths to help you to revise the complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other engineering entrance exams.

Summary of Chapter 6, that is, Fractions of Class 6

  • Fractions refer to numbers that represent a part of the whole entity numerically.

  • The representation of a part in the form of fractions can be represented in three types that is, proper fractions, improper fractions, and mixed fractions.

  • Proper fractions are the fractions where the numerator is less than the denominator, that is, the fraction is less than 1.

  • The improper fractions are the opposite of proper fractions, that is, the numerator is greater than the denominator in case of improper fractions. In other words, improper fractions represent fractions that are greater than 1.

  • Mixed fractions are the fractions that are a combination of a proper fraction and a whole number.

  • Equivalent fractions refer to fractions that are when simplified yield the same value.

  • Fractions can be easily represented on a number line where each point on the number line is associated with a certain fraction.

  • If the numerator and denominator in a fraction have no common factor other than one, then those fractions are known to exist in their simplest form.

Students can access chapter-wise solutions for free on Vedantu and also many other online resources to increase their knowledge.

FAQs on RD Sharma Class 6 Solutions Chapter 6 - Fractions (Ex 6.5) Exercise 6.5

1. How to convert mixed fractions to proper fractions in questions from Class 6 chapter 6 fractions?

Class 6 students are often asked to convert the mixed fractions to proper fractions during their exams. Certain steps that can make these types of questions easy for class 6 students to solve are:

  • Identify the whole number, the numerator, and the denominator of the proper fraction. The numerator is usually the number written on the top of the fraction while the denominator is the number written at the bottom of the fraction.

  • Now, for converting the mixed fraction to a proper fraction multiply the whole number to the denominator and then add the product to the numerator and divide the whole to the denominator.

2. How can I convert improper fractions to mixed fractions in Exercise 6.5 of Chapter 6, fractions?

Class 6 students are often asked to convert the improper fractions to mixed fractions during their exams. Certain steps that can make these types of questions easy for Class 6 students to solve are:

  • Identify the numerator and the denominator of the improper fraction. The numerator is usually the number written on the top of the fraction while the denominator is the number written at the bottom of the fraction.

  • Now, to convert this improper fraction to a mixed fraction divide the fraction and write the quotient of the division as a whole number, the remainder of the division as the numerator while the denominator of the fraction remains as it is.

3. How to represent fractions on a number line in Exercise 6.5 of Chapter 6 of Class 6?

Representation of fractions on the number line is one of the easiest questions that can be asked to Class 6 students in their exam. These types of questions require the students to remember the concept of representation of whole numbers on a number line studied in the previous class. Suppose, you want to represent ½ on a number line, then simply draw a number line and locate the 0-1 region on the number line. Now divide this line into two equal halves and denote it as ½. Now, suppose you want to represent ¼ on a number line, then fetch the 0-1 range on a number line and divide it into four equal halves. The first half that is close to 0 denotes ¼.

4. What are like fractions and unlike fractions discussed in Class 6 Chapter 6 Fractions?

Class 6 students come across new terms, that is, like fractions and unlike fractions in their maths chapter 6, that is, fractions. Like fractions generally refer to fractions that have the same denominator, for example, ⅓, ⅔, are like fractions and ¼, ¾ are also like fractions. The unlike fractions discussed in chapter 6 of class 6 are the fractions that have different denominators. For example, ⅓, ⅖ are unlike fractions.

5. How can I compare fractions that have different denominators and the different numerators in Exercise 6.5 of Chapter 6 Class 6?

Exercise 6.5 of class 6 chapter 6, that is, fractions contains questions where the students are required to compare two fractions who have different numerators and denominators as well. This type of comparison is simple if you keep the steps in mind. Comparing fractions with different numerators and denominators is solved using the technique of equivalent fractions.  Each fraction in the question is converted to an equivalent fraction such that they become like fractions and then one can simply compare both these fractions. To convert the fractions into equivalent fractions first find the LCM of the denominators, then convert the fractions into equivalent fractions such that the denominator of both the fractions is the LCM.  now, since both the fractions are equivalent to each other, you can easily compare both the fractions.