RD Sharma Class 7 Solutions Chapter 2 - Fractions (Ex 2.3) Exercise 2.3 - Free PDF
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A fraction is a number expressed as an integer divided by another integer where the resultant numerical value cannot be expressed as an integer. Here a numerator is divided by a denominator. However, in a complex fraction, a fraction is divided by another fraction or integer i.e. numerator and denominator both can be fractions or integers depending upon the complexity of the fraction. This is an important chapter and an immediate following chapter of integers. This chapter is as important as integers.
RD Sharma Class 7 Solutions Chapter 2 - Fractions Exercise 2.3 - Free PDF
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FAQs on RD Sharma Class 7 Solutions Chapter 2 - Fractions (Ex 2.3) Exercise 2.3
1. What is a fraction? Give an Example.
Fraction is information of how many parts of a whole are the number. It represents a quotient of a numerator and denominator where the denominator is not zero. The numerator is the number above the slash and the denominator is the bottom number. Denominators cannot be zero since the whole quantity cannot be zero. In brief, fraction gives the information of how many parts of a certain size is available. An example of a simple fraction is ¾ where 3 denotes the numerator and 4 the denominator and the fraction means 3 parts of the whole 4 is actually what is meant.
2. What are the different types of fractions?
Fraction can be of different types. However, the simple fraction means a quotient of two integers with the numerator less than the denominator and the denominator is not zero. There can be complex fractions where the numerator and denominator can be fractions themselves. The main types of fractions the students at Class 7 level should know are as follows:
Proper Fraction: When the numerator is less than the denominator in the numerical value of the positive whole number it is a proper fraction denominator. For example 3/7
Improper Fraction is a fraction where the numerator is less than the denominator. For example 8/3
Mixed Fraction is a special type of improper fraction. It is expressed as a whole number along with a proper fraction. For example, 5/2 is equal to 2 and ½. The whole number is 2 and the proper fraction is ½.
3. What are the rules of fractions?
Rules of both fractions are given in brief. First we will go through the rules of proper fractions are listed below:
Addition and Subtraction Rule: Addition and Subtraction can only be done between two fractions if they have the same denominator. If the denominators are not the same then a common denominator has to be found for adding or subtracting the fractions.
Multiplication Rule: Multiplication of fractions means just multiplication of numerators and multiplication of denominators of the two fractions.
Division Rule: Division of fractions means the multiplication of the numerator with the denominator of the second fraction and multiplication of the denominator with the numerator of the second.
The rule of improper fractions is to divide the numerator with the denominator and write the quotient and besides that the reminder above the slash above the denominator of the original fraction.
4. What is the importance of fractions?
Fractions are important in maths and all other science subjects like in chemistry you need fractions to prepare your solution of specific concentration or molarity. In maths, it is needed to calculate decimals, percentages, ratio proportions, probability, and in many more areas. However, in the real world, we need fractions almost daily. Ranging from splitting your favorite pizza among your friends to splitting the restaurant bill among your friends, you need fractions for calculation. You need fractions to calculate the amount you have to spend while shopping in shops giving sales discounts. Your mother may be daily using fractions in her recipes. To analyze the performance of your favorite cricketer again fraction is needed. Your score in your exams is represented infractions. Even when you are sick you need your doses of medicines in fractions. Thus without fractions, you cannot even calculate right in the real world.
5. How to do simplification of fractions?
The Class 7 students can simplify fractions for their convenience by following the below points:
The numerator and the denominator of a fraction are to be multiplied by the same non zero whole number
For simplifying the fraction we have to divide both the numerator and the denominator by the prime numbers starting from 2 onwards.
The process of this division will continue until the fraction cannot be simplified further.
Simplifying fractions is helpful to deal with while doing further operations on the fractions.