Decimals and Fractions: Shortcuts & Tricks | Quantitative Techniques for CLAT PDF Download

Decimals and fractions share similarities as they both serve as methods for representing partial numbers. Furthermore, fractions can be converted into decimals by dividing the numerator by the denominator.

Tips And Tricks for Decimals And Fractions

Convert Decimal to Fraction

• Step 1: Write down the decimal divided by 1, in the form decimal/1.
• Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000)
• Step 3: Simplify the fraction

For example, Convert 0.75 to a fraction.

Step 1: 0.75/1
Step 2: Multiply both top and bottom by 100 as there are two digits after decimal point. We get 75/100
Step 3: 75/100 = 3/4

Type 1: Tips And Tricks for Decimals And Fractions –  Find the greatest or smallest fraction

Q1: Which of the following fraction is greater 4/5 and 2/7?
(a) 2/7
(b) 4/5
(c) both are equal
(d) cannot be determined
Ans: b
Sol:
4/5 = 0.8
2/7 = 0.28
It is clear that 4/5 is greater

Type 2:  Shortcuts for Decimals and Fractions-Simplification

Q2: 12.45 + 45.765 + 89.02 = ?
(a) 147.235
(b) 156.76
(c) 132.67
(d) 124.00
Ans: a
Sol:
12.450 + 45.765 + 89.020
= 147.235

Q3: The value of 
(a) 0.037
(b) 0.0325
(c) 0.0125
(d) 25
Ans: a
Sol:

=1/27

=0.037