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# Tips And Tricks And Shortcuts Of Decimals And Fractions

## Tips And Tricks And 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.a ### Decimals and Fractions – Tips and Tricks and Shortcuts

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

### Tips and tricks to solve Decimals and Fractions questions

• 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: Decimals and Fractions Tips and Tricks and Shortcuts. 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: Tips and Tricks and 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

Q2. 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

1. 0.037
2. 0.0325
3. 0.0125
4. 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)

Read Also – How to solve Decimals and Fractions  questions.