Tips And Tricks And Shortcuts Of Decimals And Fractions

January 3, 2022

Shortcuts Of Decimals And Fractions

Decimal and fraction are quite similar because they both are ways to express partial numbers. And, fractions can be expressed as decimals also by performing the division of the ratio. To learn about Tips And Tricks for Decimals And Fractions go through this page carefully.

Here, are quick and easy tricks for you to solve Decimals and Fractions questions quickly, easily, and efficiently in competitive exams.

Tips And Tricks for Decimals And Fractions

Convert Decimal to Fraction
- Step 1: Write down the decimal divided by 1, in the form $\frac{decimal}{1}$ .
- 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: $\frac{0.75}{1}$
- Step 2: Multiply both top and bottom by 100 as there are two digits after decimal point. We get $\frac{75}{100}$
- Step 3: $\frac{75}{100}$ = $\frac{3}{4}$

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

Question 1. Which of the following fraction is greater $\frac{4}{5}$ and $\frac{2}{7}$ ?

Options

1. $\frac{2}{7}$

2. $\frac{4}{5}$

3. both are equal

4. cannot be determined

Solution $\frac{4}{5}$ = 0.8

$\frac{2}{7}$ = 0.28

It is clear that $\frac{4}{5}$ is greater.

Correct option: 2

Type 2: Shortcuts for Decimals and Fractions-Simplification

Question 1 12.45 + 45.765 + 89.02 = ?

Options

1. 147.235

2. 156.76

3. 132.67

4. 124.00

Solution: 12.450 + 45.765 + 89.020

= 147.235

Correct option: 1

Question 2. The value of $\frac{0.1\times 0.1\times 0.1+0.02+0.02+0.02}{0.3\times 0.3\times 0.3+0.6\times 0.6\times 0.6}$ is

0.037
0.0325
0.0125
25

Solution:- $\frac{\left(0.1)^{3}+(0.2)^{3} \right )}{3^{3}[(0.1)^{3}+(0.02)^{3}]}$

=1/27

=0.037 (option A)