Question

which of the following decimal numbers is equivalent to $\frac{3245}{100}$ ?

• A. $3.245$
• B. $32.45$
• C. $324.5$
• D. $0.3245$

Answer 1

The correct option is B

$32.45$

Explanation for Correct Option :

Option B : $32.45$

$\Rightarrow 32.45$

$\Rightarrow \frac{3245}{100}$( Since , there are two decimal places after the decimal point in the decimal number , so we will place two zeros after $1$ in the denominator to convert it into fraction )

Thus , the decimal number $32.45$ is equivalent to $\frac{3245}{100}$.

Explanation for Incorrect Option :

Option A : $3.245$

$\Rightarrow 3.245$

$\Rightarrow \frac{3245}{1000}$( Since , there are three decimal places after the decimal point in the decimal number , so we will place three zeros after $1$ in the denominator to convert it into fraction )

Thus , the decimal number $32.45$ is not equivalent to $\frac{3245}{100}$.

Explanation for Incorrect Option :

Option C : $324.5$

$\Rightarrow 324.5$

$\Rightarrow \frac{3245}{10}$( Since , there is one decimal place after the decimal point in the decimal number , so we will place one zero after $1$ in the denominator to convert it into fraction )

Thus , the decimal number $324.5$ is not equivalent to $\frac{3245}{100}$.

Explanation for Incorrect Option :

Option D : $0.3245$

$\Rightarrow 0.3245$

$\Rightarrow \frac{3245}{10000}$( Since , there are four decimal place after the decimal point in the decimal number , so we will place four zero after $1$ in the denominator to convert it into fraction )

Thus , the decimal number $0.3245$ is not equivalent to $\frac{3245}{100}$.

Hence , the correct option is option B .