Hi friends, in today's session we all are going to discuss about one of the most interesting topic of mathematics that is Fractions, Types of Fractions, Compare and how to simplify fractions which comes under west bengal board of secondary education syllabus. Basically when we divide an object into a number of equal parts then each part is known as fraction. A fraction consists of an integer(what are the rules for adding and subtracting integers) numerator and a denominator. The denominator must be non-zero. The numerator shows a number of equal parts and the denominator shows how many of those parts make up whole . For example 5/7 is a fraction in which the numerator 5 tells us the fraction indicates 5 equal parts and the denominator 7 tells us that 7 parts equal a whole. There are three ways of writing a fraction that are a common fraction, a decimal and a percentage. Now we are taking an example which shows these three ways. One fourth of an object can be written as,To know more about fractions click here
a common fraction=1/4
a decimal =0.25
a percentage 25%.
Always remember one thing, denominator can never be 0.
Now I am going to discuss about the types of fraction. There are three types of fractions that are proper fractions, improper fractions and mixed fractions. These are explained below,
in proper fraction numerators are less than the denominators. For example in fraction 3/4, the numerator is less as compared to the denominator. This is called proper fraction.
In improper fraction the numerator is either equal to or greater than the denominator. For example 7/5, 13/5, 5/3 etc. are not proper fractions. These are improper fractions. The fraction 5/5 is also an improper fraction. 13/10, 13/4 are the examples of improper fractions. The numerator is greater than the denominator. These types of fractions are called improper fraction.
Every natural number is an improper fraction because they can be written as a fraction in which 1 is its denominator. For example, 3 = 3/1, 35 = 35/1, 63 = 63/1, etc.
Mixed fraction is a combination of a whole number and a proper fraction is called a mixed fraction. 11 1/3,101 7/10 and 76 7/11 are the some examples of mixed fraction. In other words mixed fraction contains two parts that is a natural number and a proper fraction e.g. 34 4/5, 53 3/4, 12 1/5 etc. Now the properties of mixed fraction,
Property 1: When we convert it into an improper fraction then we multiply the natural number by the denominator and add to its numerator. The new numerator over the denominator is the required mixed fraction.
Property 2: When we divide the numerator by the denominator we get the quotient and remainder then the quotient is the natural number part and the remainder is the proper fraction part of the mixed fraction.
Now we were doing the comparison and simplification of fractions. When we want to know that which fractions is large or small then we need to compare those fractions and for the purpose of comparison we just simplify those fractions. To understand this, I am taking an example that is we will compare 2/5 and 3/8 for which fraction is bigger. We need to convert each fraction to decimal that is 2/5=0.4 and 3/8=0.37. So, the bigger fraction is 2/5.
This article gives the brief information about fractions and their types. If you want to know more about Order of Operations in Grade V and also Estimation of Solutions in Grade VI you can visit many website. These websites also provide solvers where you can solve your problems.
a common fraction=1/4
a decimal =0.25
a percentage 25%.
Always remember one thing, denominator can never be 0.
Now I am going to discuss about the types of fraction. There are three types of fractions that are proper fractions, improper fractions and mixed fractions. These are explained below,
in proper fraction numerators are less than the denominators. For example in fraction 3/4, the numerator is less as compared to the denominator. This is called proper fraction.
In improper fraction the numerator is either equal to or greater than the denominator. For example 7/5, 13/5, 5/3 etc. are not proper fractions. These are improper fractions. The fraction 5/5 is also an improper fraction. 13/10, 13/4 are the examples of improper fractions. The numerator is greater than the denominator. These types of fractions are called improper fraction.
Every natural number is an improper fraction because they can be written as a fraction in which 1 is its denominator. For example, 3 = 3/1, 35 = 35/1, 63 = 63/1, etc.
Mixed fraction is a combination of a whole number and a proper fraction is called a mixed fraction. 11 1/3,101 7/10 and 76 7/11 are the some examples of mixed fraction. In other words mixed fraction contains two parts that is a natural number and a proper fraction e.g. 34 4/5, 53 3/4, 12 1/5 etc. Now the properties of mixed fraction,
Property 1: When we convert it into an improper fraction then we multiply the natural number by the denominator and add to its numerator. The new numerator over the denominator is the required mixed fraction.
Property 2: When we divide the numerator by the denominator we get the quotient and remainder then the quotient is the natural number part and the remainder is the proper fraction part of the mixed fraction.
Now we were doing the comparison and simplification of fractions. When we want to know that which fractions is large or small then we need to compare those fractions and for the purpose of comparison we just simplify those fractions. To understand this, I am taking an example that is we will compare 2/5 and 3/8 for which fraction is bigger. We need to convert each fraction to decimal that is 2/5=0.4 and 3/8=0.37. So, the bigger fraction is 2/5.
This article gives the brief information about fractions and their types. If you want to know more about Order of Operations in Grade V and also Estimation of Solutions in Grade VI you can visit many website. These websites also provide solvers where you can solve your problems.
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