PROPER AND IMPROPER FRACTION
About "Proper and improper fraction"
Proper and improper fraction :
Students who are at the initial stage of learning math must be aware of the different types of fractions.
The picture given below clearly illustrates the different types of fractions.
Difference between proper fraction and improper fraction
The value of a proper fraction will always be less than 1 and for improper fraction, it will be greater than 1.
The picture given below clearly illustrates this.
Mixed numeral
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.
Conversion
1. Improper fraction can be converted into mixed numeral and vice versa.
2. Proper fraction can never be converted into mixed numeral.
3. When we convert a mixed numeral into a fraction, always we would 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.
Conversion among different types of fractions - Examples
Example 1 :
Write the following improper fraction as mixed numeral.
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 numeral which is equal to 275/3 is
912⁄3
Example 2 :
Write the following improper fraction as mixed numeral.
155 / 7
Solution :
When we divide 155 by 7 as explained in the above picture, 7 goes into 155 by 22 times and we will have 1 left in 155.
By using the method explained in the picture above, the mixed fraction or mixed numeral which is equal to 155/7 is
221⁄7
Example 3 :
Write the following improper fraction as mixed number.
782 / 13
Solution :
When we divide 782 by 13 as explained in the above picture, 13 goes into 782 by 60 times and we will have 2 left in 782.
By using the method explained in the picture above, the mixed fraction or mixed numeral which is equal to 782/13 is
602⁄13
Example 4 :
Write the following mixed numeral as improper fraction.
93⁄8
Solution :
We have to do the following steps to write the given mixed numeral as improper fraction.
Step 1 :
Multiply the denominator 8 by the whole number 9.
Thus, we get 72
Step 2 :
Add this 72 to the numerator 3.
Thus, we get 75.
Step 3 :
Now, form a fraction with this 75 as numerator and 8 (denominator in the given mixed number) as denominator.
Therefore, the required improper fraction is 75/8.
Example 5 :
Write the following mixed numeral as improper fraction.
1113⁄15
Solution :
We have to do the following steps to write the given mixed numeral as improper fraction.
Step 1 :
Multiply the denominator 15 by the whole number 11.
Thus, we get 165
Step 2 :
Add this 165 to the numerator 13.
Thus, we get 178.
Step 3 :
Now, form a fraction with this 178 as numerator and 15 (denominator in the given mixed number) as denominator.
Therefore, the required improper fraction is 178/15.
After having gone through the stuff given above, we hope that the students would have understood "Proper and improper fraction".
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WORD PROBLEMS
HCF and LCM word problems
Word problems on simple equations
Word problems on linear equations
Word problems on quadratic equations
Area and perimeter word problems
Word problems on direct variation and inverse variation
Word problems on comparing rates
Converting customary units word problems
Converting metric units word problems
Word problems on simple interest
Word problems on compound interest
Word problems on types of angles
Complementary and supplementary angles word problems
Markup and markdown word problems
Word problems on mixed fractrions
One step equation word problems
Linear inequalities word problems
Ratio and proportion word problems
Word problems on sets and venn diagrams
Pythagorean theorem word problems
Percent of a number word problems
Word problems on constant speed
Word problems on average speed
Word problems on sum of the angles of a triangle is 180 degree
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Ratio and proportion shortcuts
Domain and range of rational functions
Domain and range of rational functions with holes
Graphing rational functions with holes
Converting repeating decimals in to fractions
Decimal representation of rational numbers
Finding square root using long division
L.C.M method to solve time and work problems
Translating the word problems in to algebraic expressions
Remainder when 2 power 256 is divided by 17
Remainder when 17 power 23 is divided by 16
Sum of all three digit numbers divisible by 6
Sum of all three digit numbers divisible by 7
Sum of all three digit numbers divisible by 8
Sum of all three digit numbers formed using 1, 3, 4
Sum of all three four digit numbers formed with non zero digits
