Quantitative Aptitude Fractions (Study Material)
Quantitative Aptitude Fractions Tutorial (Study Material).A fraction is a part of the whole (object, thing, region). It forms the part of basic aptitude of a person to have and idea of the parts of a population, group or territory. Candidate must have a feel of ‘fractional’ thinking. eg, , here ‘12’ is the number of equal part into which the whole has been divided, is called denominator and ‘5’ is the number of equal parts which have been taken out, is called numerator.
A number of the type x/y which represents .v number of parts out of v number of equal parts of a thing is called a fraction.
Fraction 2/7 represents 2 equal parts out of 7 equal parts of a thing. In the figure, the shaded part represents
Fraction = Numerator/Denominator Such a fraction is known as common fraction or vulgar fraction
- A fraction, whose denominator is 10 or 100 or 10(H) etc. is called a decimal fraction.
- Fractions whose denominators are same, are called like fractions, e.g.3/8 ,5/8.
- Fractions whose denominators are different, are called unlike fractions, e.g. fractions 3/4, 9/11 are unlike fractions.
Comparison of Fractions
Two or more different fractions can be compared with the help of the following rules:
When two fractions have the same denominator, the greater fraction is that which has the greater numerator.
Example: Thus 5/11 is greater than 3/11
When two fractions have the same numerator, the greater fraction is that which has the smaller denominator.
Example: Thus 7/13 is greater than 7/19.
When two or more fractions with different denominators and different numerators are to be compared, then the following simple technique is to be used:
Step 1 Among all the given fractions,
let the maximum number of digits in the numerator = n
the maximum number of digits in the denominator = d
Step 2 Find (d – n).
Step 3 If (d ~ n) = 0 or 1, multiply each fraction by 10.
If (d – n) = 2, 3, 4 . . . multiply each given fraction by 102, 103 ,104 . . . respectively.
Step 4 After multiplication, find only the integer value of the resultant fraction.
Step 5 If in step 4, any of the two fractions have the same integer value, then find the next decimal place and so on.
Step 6 Compare the integer/decimal values obtained in step 4 or step 5. The fraction having the maximum value is the greatest fraction.
Fractional part of a number (or quantity) is simply the product of the related fraction and the given number.
Fractional Part of a Number
To Find The Fraction Related To Balance (Rest) Amount
Conventionally, we have learnt that
Fraction related to balance (rest) part = I – (sum of all other fractions)
It is used when all fractions are independent. Following example w ill illustrate the fact.