# how-to-solve-quickly

## How to solve Decimals and Fractions questions

#### Definition

1. Decimal: A decimal number is a number with a decimal point in it. For example, 1.5.
2. Fraction: A fraction is a way of expressing a number that is a ratio of two integers. For example, 2/5.

## Type 1: Find the greatest or smallest fraction

### Question 1

Which of the following fraction is the largest?
Options

1. 7/9
2. 13/14
3. 15/21
4. 3/4

#### Solution:

7/9 = 0.77

13/14 = 0.92

15/21 = 0.71

3/4 = 0.75

From the above, 0.92 is the largest.

### Question 2

Which of the following are in descending order of their value?
Options

1. 1/3, 6/7, 3/5, 2/3
2. 6/7, 2/3, 3/5, 1/3
3. 3/5, 1/3, 6/7, 2/3
4. 2/3, 6/7, 3/5, 1/3

6/7 = 0.85

2/3 = 0.66

3/5 = 0.6

1/3 = 0.33

### Question 3

Which of the following fractions is greater than 3/4 and less than 5/6?
Options

1. 3/5
2. 2/5
3. 4/5
4. 9/10

#### Solution:

3/4 = 0.75 and 5/6 = 0.833

Now check for all the options

3/5 = 0.6

2/5 = 0.4

4/5 = 0.8

9/10 = 0.9

## Type 2: Simplification

### Question 1

Which of the following is equal to 2.14 * 106 ?
Options

1. 214000000
2. 214000
3. 21400000
4. 2140000

#### Solution:

2.14 * 106 = 2.14 * 1000000 = 2140000

### Question 2

Solve 5*1.7-2*1.5/1.1=?
Options

1. 5
2. 1.5
3. 10
4. 5.2

#### Solution:

5*1.7-2*1.5/1.1=8.5-3.0/1.1=8.5-3.0/1.1=5.5/1.1=5

### Question 3

0.006 * 0.5 = ?
Options

1. 30
2. 0.30
3. 30.00
4. 0.0030

#### Solution:

6 * 5 = 30

Now sum of decimal place = 4

0.006 * 0.5 = 0.0030