PROPER AND IMPROPER FRACTION

Proper and Improper Fraction :

In this section, you will learn about proper fraction and improper fraction. 

Proper Fraction :

In a proper fraction, the numerator will always be smaller than the denominator. 

Examples : 

2/5,  3/11

Improper Fraction :

In an improper fraction, the numerator will be equal to or larger than the denominator. 

7/5,  3/2, 1/1

Difference between Proper Fraction and Improper Fraction

The picture shown below clearly illustrates this. 

Mixed Numerals

Mixed numeral is a quantity which is expressed as a whole number and a proper fraction.

Always its value will be greater than or equal to 1. 

The picture given below clearly illustrates this. 

Conversions

1.  An improper fraction can be converted into a mixed numeral and vice versa. 

2. A proper fraction can never be converted into a mixed numeral. 

3. When we convert a mixed numeral into a fraction, always, we will get an improper fraction. 

Converting an Improper Fraction into Mixed Numeral 

The picture given below illustrates, how to convert an improper fraction into mixed number. 

Converting a Mixed Numeral into an Improper Fraction

The picture given below illustrates how to write a mixed number as an improper fraction.

Conversions between Different Types of Fractions - Examples

Example 1 :

Write the following improper fraction as mixed number.

275 / 3

Solution : 

When we divide 275 by 3 as explained in the above picture, 3 goes into 275 by 91 times and we will have 2 left in 275.

By using the method explained in the picture above, the mixed fraction or mixed number which is equal to 275/3 is  

91 2/3

Example 2 :

Write the following improper fraction as mixed number.

75 / 8

Solution : 

When we divide 75 by 8 as explained in the above picture, 8 goes into 75 by 9 times and we will have 3 left in 75.

By using the method explained in the picture above, the mixed fraction or mixed number which is equal to 75/8 is 

9 3/8

Example 3 :

Convert the following mixed number into an improper fraction.

2 4/7

Solution :

Improper fraction  =  18/7

Example 4 :

Convert the following mixed number into an improper fraction.

12 8/9

Solution :

Improper fraction  =  116/9

After having gone through the stuff given above, we hope that the students would have understood proper fraction and improper fraction. 

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

You can also visit the following web pages on different stuff in math. 

WORD PROBLEMS

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Percent of a number word problems

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Graphing rational functions

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Decimal representation of rational numbers

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L.C.M method to solve time and work problems

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