# What percent is : 25 cm of 4 meters ?

Answer

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**Hint:**To find the percentage of 25 cm of 4 meters, we have to convert 4 meters into centimeters by multiplying 4 by 100 since 1 meter is 100 centimeters. Then, we have to find the percentage of 25 cm of 400 cm by dividing 25 by 400 and multiplying the result by 100.

**Complete step by step solution:**

We have to find the percentage of 25 cm of 4 meters. Let us convert 4 meters into centimeters. We know that 1 meter is 100 centimeters.

$\Rightarrow 1\text{ m}=100\text{ cm}$

Therefore, 4 meters will be 100 multiplied by 4.

$\begin{align}

& \Rightarrow 4\text{ m}=100\times 4\text{ cm} \\

& \Rightarrow 4\text{ m}=400\text{ cm} \\

\end{align}$

Now, we have to find the percentage of 25 cm of 400 cm. We know that to convert a number into percentage, we have to multiply it with 100. We can write this mathematically as

$\dfrac{25}{400}\times 100\%$

Let us cancel the zeroes from the numerator and the denominator.

$\Rightarrow \dfrac{25}{4\require{cancel}\cancel{0}\require{cancel}\cancel{0}}\times 1\require{cancel}\cancel{0}\require{cancel}\cancel{0}\%$

We can write the result of the above simplification as

$\Rightarrow \dfrac{25}{4}\%$

We can write the above fraction as a mixed fraction. For this, we will divide 25 by 4.

$4\overset{6}{\overline{\left){\begin{align}

& 25 \\

& -24 \\

& \_\_\_\_ \\

& \begin{matrix}

{} & 1 \\

\end{matrix} \\

\end{align}}\right.}}$

We can write in mixed fraction as $\text{Quotient}\dfrac{\text{Remainder}}{\text{Divisor}}=6\dfrac{1}{4}$

Therefore, $\dfrac{25}{4}\%=6\dfrac{1}{4}\%$ .

We can also write $\dfrac{25}{4}\%$ in the decimal form.

\[4\overset{6.25}{\overline{\left){\begin{align}

& 25.00 \\

& -24 \\

& \_\_\_\_\_\_ \\

& \begin{matrix}

{} & 10 \\

\end{matrix} \\

& \begin{matrix}

{} & -8 \\

\end{matrix} \\

& \_\_\_\_\_\_ \\

& \begin{matrix}

{} & \text{ }\text{ }\text{ }20 \\

\end{matrix} \\

& \begin{matrix}

{} & \text{ }\text{ }\text{ }-20 \\

\end{matrix} \\

& \_\_\_\_\_\_\_ \\

& \begin{matrix}

{} & {} & 0 \\

\end{matrix} \\

\end{align}}\right.}}\]

Therefore, $\dfrac{25}{4}\%=6.25\%$ .

Hence, 25 cm of 4 meters. is $\dfrac{25}{4}\%\text{ or }6\dfrac{1}{4}\%\text{ or }6.25\%$ .

**Note:**Students have a chance of writing 25 cm of 400 cm as $25\times 400$ . This leads to wrong results. Students have a chance of making a mistake when converting meters into centimeters by writing 1 cm as 100 meters.

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