Proper Fraction :
In a proper fraction, the numerator is always smaller than the denominator.
Examples :
2/5, 3/11
Improper Fraction :
In an improper fraction, the numerator is equal to or larger than the denominator.
7/5, 3/2, 1/1
Proper Fraction The value of a proper fraction is always greater than 0 but less than 1. |
Improper Fraction The value of an improper fraction is always equal to 1 or larger than 1. |
The picture shown below clearly illustrates this.
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.
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.
The picture given below illustrates, how to convert an improper fraction into mixed number.
The picture given below illustrates how to write a mixed number as an improper fraction.
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
91⅔
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
9⅜
Example 3 :
Convert the following mixed number into an improper fraction.
2⁴⁄₇
Solution :
Improper fraction = 18/7
Example 4 :
Convert the following mixed number into an improper fraction.
12⁸⁄₉
Solution :
Improper fraction = 116/9
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