Mixed Fraction

Mixed  Fractions    A combination of a whole number and a proper fraction is called a mixed fraction. Example of mixed fractions:-
1(1/4),2(1/2) etc.Conversion of mixed fractions into improper  fractions and vice-versa….
Step 1  Obtain the mixed fraction.
Let the mixed fraction be 2 3/5.
Step 2 Identify the whole number, numerator and the denominator of the proper fraction.
Step 3 Multiply the whole number with denominator of the proper fraction and then add the product into the proper fraction numerator.
Step 4 The numerator of the fraction is thus equal to the number obtained in step 3 and denominator same as the denominator of the fraction in step 2.
Thus,

Improper fraction=((Whole number * Denominator) + Numerator)/Denominator

Addition of mixed fractions:Let us see an example of adding mixed fractions .Suppose we have to add 1 ¼ and 2 ¼ ,to add two or more mixed numbers, we change them to improper fractions and then add.For adding mixed fraction we will follow these steps:There is two way of adding mixed numbers:- 1(1/4),2(1/2) For adding mixed fraction first we are going to convert mixed fraction to improper fraction 5/4 +9/4, Now we can see that we have common denominator ,so we will simply add numerator (5+9)/4=>14/4 now we will simply reduce it to lowest term and then convert it intomixed fraction=> 3 2/4 =>3(1/2)

Subtraction of mixed fractions:For subtracting  mixed numbers,we change them to  improper fractions and then subtract.
Let us take an example to understand subtraction of mixed number.suppose we have to subtract 2(3/4) - 1(1/2) ,
For subtracting mixed fractions first we are  going to convert mixed fraction into improper fraction => 11/4 -3/2. Now for unlike denominator we will nake equal denominator =>    11-6/4=5/4  , Then convert it into mixed fraction
1 1/4

Multiplication of mixed fractions:  For multiplying mixed fractions  we will convert mixed fraction to improper fraction ,then we wll multiply the numerator and denominator separately .Reduce them  to lowest fraction and again convert it into mixed fraction .Let us take an example of 2 ½ by 5.First we will covert mixed fraction  21/2 into improper fraction ,we will have 5/2,then we will multiply 5/2 by 5, we have 2 ½ * 5 = 5/2 * 5 = 5*5/2=25/2 ,convert 25/2 into mixed fraction we will have 12(1/2)

Division of mixed fractions : For dividing mixed fractions , again we will convert mixed fraction to improper fraction>Let us take an example of 51/2 / 11  wewill convert 5 ½ into improper fraction which gives 11/2, now  we will change 11 as 1/11 by converting sign from division to multiplication .11/2 x1/11=> 11/22,conert it into lowest form, we have1/2