Fractions – Quantitative Aptitude

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

• 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.

• 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.

• 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.

• 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.

• 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.

• 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

How to Solve:
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

Evaluate the expression:

A. 1.34

B. 1.83

C. 3.17

D. 5

How to Solve:

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 #3

Evaluate the expression.

A. 49/113

B. 53/136

C. 68/157

D. 77/169

How to Solve:

In this example we need to simplify the expression to get the result.

So, by evaluating the expression we get,


or,

or,

so,

or,

or,

so,

or,

or,

so,

Therefore, the answer is, 68/157.

Example #4

Between and which equation is greater?

A. First Equation

B. Second Equation

C. Both are Equal

D. Can't Determine

How to Solve:
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 #5

How to Solve:
X + Y = 2
X - Y = 3/5
So, in this example we need to find out the value of each fraction by evaluating the expression.

So, by adding two expression we get,


or,

or,

so,

or,

Similarly, by putting the value of X in expression (i) we get,


or,

or,

so,

or,

So, the value of X is 13/10 and value of Y is 7/10.

Example #6

Example #7

If a fraction is divided by it's reciprocal and then it multiplied by the original fraction, we get the result . Find out the fraction.

A. 8/3

B. 11/3

C. 11/5

D. 11/9

How to Solve:
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 #8

Example #9

How to Solve:
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 option

Then,


or,

or, This is also not the correct option

Then,


so,

or,

or, This is the correct option

So, the fraction equivalent to 13/37 is 91/259.

Example #10

What is the fraction form of decimal value 87.00013

A.

B.

C.

D.

Correct Answer is: [Option B].

How to Solve:
Fraction form of 87.00013
So, in this example we need to find out the fraction form of this decimal value.

So, from the given decimal value we can say that:


or,

or,

or,

Therefore, the fraction form of decimal value 87.00013 is:

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.