# How To Solve Decimals And Fractions Questions Quickly

## How to solve Decimal and Fraction Questions Quickly

Every Decimal number can also be written as Fraction number . And every Fraction number can also be written as Decimal  number. For example : 2.5 is decimal number and also written as $\frac{25}{10}$ which is a Fraction number. In order to resolve your query of -” How To Solve Decimals And Fractions Quickly” , please go through the complete page thoroughly.

### 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 $\frac{5}{7}$ and $\frac{9}{2}$ is greater?

Options:

A.  $\frac{5}{7}$

B.  $\frac{9}{2}$

C.  Both are equal

D.  Cannot be Determined

Solution:     $\frac{5}{7}$ = 0.71

$\frac{9}{2}$ = 4.5

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

Question 2. Which among the given numbers is greater$\frac{5}{8}$ or $\frac{1}{2}$?

Options:

A.  $\frac{5}{8}$

B.  $\frac{1}{2}$

C.  Both are equal

D.  Cannot be Determined

Solution:    $\frac{5}{8}$ = 0.62

$\frac{1}{2}$= 0.5

The decimal value of $\frac{5}{8}$ is greater than that of $\frac{1}{2}$. Therefore, it is greater than $\frac{1}{2}$.

Question 3.Which among $\frac{4}{7}$ and $\frac{9}{7}$ is greater?

Options:

A.  $\frac{4}{7}$

B.  $\frac{9}{7}$

C.  Both are equal

D.  Cannot be Determined

Solution:      $\frac{4}{7}$= 0.57

$\frac{9}{7}$ = 1.28

Since the decimal value of $\frac{9}{7}$ 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