分数转小数计算器

Your input: convert $$$\frac{3800}{100}$$$ into a decimal.

Write the problem in the special format:

$$$\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccc}\phantom{3}&\phantom{8}&\phantom{.}&\phantom{0}\end{array}&\\100&\phantom{-}\enclose{longdiv}{\begin{array}{cccc}3&8&0&0\end{array}}&\\&\begin{array}{llll}\end{array}&\begin{array}{c}\end{array}\end{array}$$$

Step 1

How many $$$100$$$'s are in $$$3$$$?

The answer is $$$0$$$.

Write down $$$0$$$ in the upper part of the table.

Now, $$$3-100 \cdot 0 = 3 - 0= 3$$$.

Bring down the next digit of the dividend.

$$$\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccccc}\color{SaddleBrown}{0}&\phantom{0}&\phantom{3}&\phantom{8}&\phantom{.}&\phantom{0}\end{array}&\\\color{Magenta}{100}&\phantom{-}\enclose{longdiv}{\begin{array}{cccccc}\color{SaddleBrown}{3}& 8 \downarrow&0&0&.&0\end{array}}&\\&\begin{array}{lllll}-&\phantom{8}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}0&\phantom{.}\\\hline\phantom{lll}3&8&\phantom{.}\end{array}&\begin{array}{c}\end{array}\end{array}$$$

Step 2

How many $$$100$$$'s are in $$$38$$$?

The answer is $$$0$$$.

Write down $$$0$$$ in the upper part of the table.

Now, $$$38-100 \cdot 0 = 38 - 0= 38$$$.

Bring down the next digit of the dividend.

$$$\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccccc}0&\color{Brown}{0}&\phantom{3}&\phantom{8}&\phantom{.}&\phantom{0}\end{array}&\\\color{Magenta}{100}&\phantom{-}\enclose{longdiv}{\begin{array}{cccccc}3&8& 0 \downarrow&0&.&0\end{array}}&\\&\begin{array}{lllll}-&\phantom{8}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}0&\phantom{.}\\\hline\phantom{lll}\color{Brown}{3}&\color{Brown}{8}&\phantom{.}\\-&\phantom{8}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}&0&\phantom{.}\\\hline\phantom{lll}3&8&0&\phantom{.}\end{array}&\begin{array}{c}\end{array}\end{array}$$$

Step 3

How many $$$100$$$'s are in $$$380$$$?

The answer is $$$3$$$.

Write down $$$3$$$ in the upper part of the table.

Now, $$$380-100 \cdot 3 = 380 - 300= 80$$$.

Bring down the next digit of the dividend.

$$$\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccccc}0&0&\color{DarkCyan}{3}&\phantom{8}&\phantom{.}&\phantom{0}\end{array}&\\\color{Magenta}{100}&\phantom{-}\enclose{longdiv}{\begin{array}{cccccc}3&8&0& 0 \downarrow&.&0\end{array}}&\\&\begin{array}{lllll}-&\phantom{8}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}0&\phantom{.}\\\hline\phantom{lll}3&8&\phantom{.}\\-&\phantom{8}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}&0&\phantom{.}\\\hline\phantom{lll}\color{DarkCyan}{3}&\color{DarkCyan}{8}&\color{DarkCyan}{0}&\phantom{.}\\-&\phantom{8}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}3&0&0&\phantom{.}\\\hline\phantom{lll}&8&0&0&\phantom{.}\end{array}&\begin{array}{c}\end{array}\end{array}$$$

Step 4

How many $$$100$$$'s are in $$$800$$$?

The answer is $$$8$$$.

Write down $$$8$$$ in the upper part of the table.

Now, $$$800-100 \cdot 8 = 800 - 800= 0$$$.

Bring down the next digit of the dividend.

$$$\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccccc}0&0&3&\color{Peru}{8}&\phantom{.}&\phantom{0}\end{array}&\\\color{Magenta}{100}&\phantom{-}\enclose{longdiv}{\begin{array}{cccccc}3&8&0&0&.& 0 \downarrow\end{array}}&\\&\begin{array}{lllll}-&\phantom{8}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}0&\phantom{.}\\\hline\phantom{lll}3&8&\phantom{.}\\-&\phantom{8}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}&0&\phantom{.}\\\hline\phantom{lll}3&8&0&\phantom{.}\\-&\phantom{8}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}3&0&0&\phantom{.}\\\hline\phantom{lll}&\color{Peru}{8}&\color{Peru}{0}&\color{Peru}{0}&\phantom{.}\\-&\phantom{8}&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}\\\phantom{lll}&8&0&0&\phantom{.}\\\hline\phantom{lll}&&&0&\phantom{.}&0\end{array}&\begin{array}{c}\end{array}\end{array}$$$

Step 5

How many $$$100$$$'s are in $$$0$$$?

The answer is $$$0$$$.

Write down $$$0$$$ in the upper part of the table.

Now, $$$0-100 \cdot 0 = 0 - 0= 0$$$.

$$$\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccccc}0&0&3&8&.&\color{Violet}{0}\end{array}&\\\color{Magenta}{100}&\phantom{-}\enclose{longdiv}{\begin{array}{cccccc}3&8&0&0&.&0\end{array}}&\\&\begin{array}{lllll}-&\phantom{8}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}0&\phantom{.}\\\hline\phantom{lll}3&8&\phantom{.}\\-&\phantom{8}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}&0&\phantom{.}\\\hline\phantom{lll}3&8&0&\phantom{.}\\-&\phantom{8}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}3&0&0&\phantom{.}\\\hline\phantom{lll}&8&0&0&\phantom{.}\\-&\phantom{8}&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}\\\phantom{lll}&8&0&0&\phantom{.}\\\hline\phantom{lll}&&&\color{Violet}{0}&\phantom{.}&\color{Violet}{0}\\&&-&\phantom{0}&\phantom{.}&\phantom{0}\\\phantom{lll}&&&&\phantom{.}&0\\\hline\phantom{lll}&&&&&0\end{array}&\begin{array}{c}\end{array}\end{array}$$$

Since the remainder is $$$0$$$, then we are done.

Therefore, $$$\frac{3800}{100}=38.0$$$

Answer: $$$\frac{3800}{100}=38.0$$$