Fractions: Suppose you choose a Circle
Now In the above Circle, is divided into 6 parts and then it is shaded with 2 parts, so we say that fraction of the shaded part is 2 out of 6 that is 26.
I think now you got an idea about fractions, Lets define a fraction
Fraction: Fraction is of the form Numeratordenominator; here denominator is never equal to zero.
Example: 35, 98
Example: 40 cannot be a fraction since you can never select 4 items out of zero number of things.
Now we shall define Different types of fractions:
1. Proper Fraction : Here numerator is less than the denominator. Example 25 that is 2 is less than 5.
2. Improper Fraction : Here numerator is greater than the denominator Example 54 that is 5 is greater than 4.
3. Mixed fraction : An improper fraction converted to a whole number and a proper fraction is called a mixed fraction Example: 356, 432.
In this section we will try to do some operations on the Fractions.
Addition of fractions:
Consider two fractions 34 and 54
34 + 54
Since they have common denominator we can add up the numerators freely like this
3 + 54 = 84 = 2.
Subtraction of fractions:
Consider two fractions 94 and 12 let us try to subtract it
94 - 12 = 9−14 = 84 = 2 [Here also we come across same denominator, so we can subtract freely the numerator and divide it by 4].
Multiplication of fraction: Consider two fractions such as 24 and 68 now multiply these two
24 × 68 = 1232 = 616 = 38 [you can simplify the answer by 2 table].
Division of a fraction: Let us consider the above two fractions only and try to divide it
2468. Here you need to invert the Denominator Like this
24×86 then cancel 8 goes in 4, 2 times and 6 goes in 2, 3 times So our answer is 23.
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