# How To Solve Decimals And Fractions Questions

## How to Solve Quickly Decimals and Fractions

Definition:

Decimals and fractions are two notations to represent a number. A decimal number is a number whose place value is based on 10s. Also, whole numbers are actually decimal numbers which are greater than or equal to zero. The following section describes the three examples of how decimals and fractions are calculated.

## Type 1: Find the greatest or smallest fraction

### Question 1.

Which among 5/7 and 9/2 is greater?

Options:

A.  5/7
B.  9/2
C.  Both are equal
D.  Cannot be Determined

Solution:

5/7  = 0.71

9/2 = 4.5

The decimal values of the above fractions clearly indicate that the value of 9/2 is more than 5/7. Therefore, 9/2 is the greater number among the two.

### Question 2.

Which among the given numbers is greater 5/8 or ½?

Options:

A.  5/8
B.  1/2
C.  Both are equal
D.  Cannot be Determined

Solution:

5/8 = 0.62

½= 0.5

The decimal value of 5/8 is greater than that of ½. Therefore, it is greater than ½.

### Question 3.

Which among 4/7 and 9/7 is greater?

Options:

A.  4/7
B.  9/7
C.  Both are equal
D.  Cannot be Determined

Solution:

4/7 = 0.57

9/7 = 1.28

Since the decimal value of 9/7 is greater, it is the greater number between the given two numbers.

## Type 2: How To Solve Question on Decimals and Fractions Quickly- Simplification

### Question 1.

Simplify and calculate the result of 56.25 + 36.56+ 12.45.

Options:

A.  105.26
B.  110.23
C.  200.36
D.  Cannot be Determined

#### Solution:

The result can be calculated simply by adding the given numbers before and after the decimal sign.

Therefore, 56.25 + 36.56+ 12.45 = 105.26

### Question 2.

Simplify and calculate the result of 78.56 + 12.36+ 10.00.

Options:

A.  210.36
B.  300.69
C.  100.92
D.  Cannot be Determined

Solution:

The result can be calculated simply by adding the given numbers before and after the decimal sign.

Therefore, 78.56 + 12.36+ 10.00= 100.92

### Question 3.

Simplify and calculate the result of 300.45 + 1223.89+ 1210.12.

Options:

A.  1213.36
B.  2734.46
C.  500.92
D.  Cannot be Determined

Solution:

The result can be calculated simply by adding the given numbers before and after the decimal sign.

Therefore, 300.45 + 1223.89+ 1210.12= 2734.46 