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

Find the missing value in the expression.

A. 1/6

B. 1/3

C. 1/4

D. 1/8

How to Solve:

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.

Example #2

Example #3

How much more is compared to 1?

A. 1/3

B. 1/4

C. 1/6

D. 1/12

How to Solve:
In this example we need to analyze the question and put everything in an equation.

So, in the question it mentioned that sum of and is more than 1.
Therefore, the value of sum is bigger than 1.
So, by subtracting 1 from the sum we get, how much more the sum from 1.
Like,


or,

or,

so,

or,

or,

So, the sum is 1/4 more than 1.

Example #4

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

How to Solve:
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 3/4^th part of that wall.

Example #7

Example #8

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 #9

In a math class, teacher asked every students to multiply with a fraction. But instead of multiplying Jay divided the fraction with . As a result he gets more than the expected result. Find out the fraction value to whom teacher asked to multiply .

A. 1/2

B. 1/4

C. 1/8

D. 1

How to Solve:
So, in this example we need to form the equation and find out the value of that equation.

Let, the fraction be X.
So, according to the question we get,


so,

or,

or,

So, the fraction value here is 1/2 to whom teacher asked to multiply .

Example #10

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.