Quantitative Aptitude – Fractions
Fractions represents as the part of a whole number. It shows, how many equal parts are there in that whole number. We use two numbers to write a fraction. One line separate these two numbers, like 1/4. The upper number or top number represents the number of parts and lower number or bottom number represents the total number of parts.
So, in examination you will get two to three questions from fraction chapter. Therefore, prepare this chapter very well. Now, we will discuss few types of fractions –
Types of Fractions
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Simple Fraction:
The most simplest form of fraction is Simple Fraction. And, it’s written as x/y , where x and y both are integers. x is called numerator and y is called denominator.
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Decimal Fraction:
In Decimal Fraction, numbers are written like 0.50, 0.25, 0.70 etc. These numbers are not separated by any separator, but you can convert these fraction as simple fraction. A decimal number 0.50 can be written in decimal fraction as 1/2.
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Proper Fraction:
A fraction is said to be a Proper Fraction if numerator is less than denominator. For example, 1/2, 5/7, 13/20 etc.
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Improper Fraction:
A fraction is said to be a Improper Fraction if numerator is bigger than denominator. For example, 4/3, 9/7, 31/23 etc.
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Mixed Fraction:
A mixed fraction is a combination of two numbers. One of them is an integer number (non zero) and another one is a proper fraction. And, we write a mixed fraction as 31/2 . It’s actually the sum of two different numbers. When we write mixed fraction numbers, we do not add ‘+’ operator. So, 31/2 is actually 3 + 1/2.
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Complex Fractions:
Complex Fraction is a combination of Proper Improper fraction or Mixed fraction or both.
Few Examples to Test your Fractions learnings:
Example #1
So, in this example we need to form the equation and find out the value of that equation.
Let, the integer number be X.
So, according to the question we get,
or,
or,
so,
or,
or,
So, the integer number is 60.
Example #2
. Find out the fraction.So, in this example we need to form the equation and find out the value of that equation.
Let, the resulting fraction is X.
So, according to the question we get,
so,
or,
or,
So, the original fraction here is 11/3.
Example #3
So, in this example we need to evaluate the expression and find the value.
And, here we need to apply some basic formula to get the value. You can also use the conventional way of evaluating the value. But, it will be very quick if you use basic math formula.
Let,
is a and 
is b.So,
or,
or,
so,
or,
or,
so,
or, 5
Example #4
3/5, 2/9, 5/8, 1/3
3/5, 2/9, 5/8, 1/3
So, in this example we need to find out the decimal fraction of every value. And, then compare the decimal value with every other fraction.
So, Decimal fraction of these fractions are:
3/5 = 0.600
2/9 = 0.222
5/8 = 0.625
1/3 = 0.333
Therefore, from the decimal value we can clearly arrange these fractions into their ascending order-
2/9 < 1/3 < 3/5 < 5/8
Example #5
and 
which equation is greater?In this example we need to find out value of both the equations.
So, from the first equation we get,
or,
or,
And, from the first equation we get,
or,
or,
So, no one is greater. Both equations are equal.
Example #6
3/11, 2/15, 7/18, 4/13
3/11, 2/15, 7/18, 4/13
So, in this example we need to find out the decimal fraction of every value. And, then compare the decimal value with every other fraction.
So, Decimal fraction of these fractions are:
3/11 = 0.272
2/15 = 0.133
7/18 = 0.388
4/13 = 0.307
Therefore, from the decimal value we can clearly arrange these fractions into their descending order-
7/18 > 4/13 > 3/11 > 2/15
Example #7
1/2, 3/5, 5/7, 3/4
1/2, 3/5, 5/7, 3/4
So, in this example we need to find out the decimal fraction of every value. And, then compare the decimal value with every other fraction.
So, Decimal fraction of these fractions are:
1/2 = 0.500
3/5 = 0.600
5/7 = 0.714
3/4 = 0.750
Therefore, from the decimal value we can say that 3/4 is the largest number among these numbers.
Example #8
In this example we need to form the equation and find out the value of that equation.
So, according to the question,
so,
or,
or,
So, Rony divide 6 equal parts of 3/4th part of that wall.
Example #9
So, in this example we need to find out the fraction multiple value of 13/37.
So, for this we need to divide each option with the question fraction. And, the option which gave us the result 1, that would be our choice.
Like,
or,
or,
This is not the correct optionThen,
or,
or,
This is also not the correct optionThen,
so,
or,
or,
This is the correct optionSo, the fraction equivalent to 13/37 is 91/259.
Example #10
In this example we need to find the missing fraction.
So, by evaluating the expression we get,
or,
or,
so,
or,
or,
Therefore, the missing number in this expression is, 1/6.
So, if you need any farther help on Fractions, then please let us know. And, definitely we will discuss on those problems here in www.AptitudeTricks.com.