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Kalkulator ułamków dziesiętnych

Konwersja ułamków zwykłych na dziesiętne krok po kroku

Kalkulator zamieni podany ułamek (właściwy lub niewłaściwy) lub liczbę mieszaną na liczbę dziesiętną (ewentualnie powtarzającą się lub rekurencyjną), z pokazanymi krokami.

Enter a fraction or

If you don't need a mixed number, leave the left cell empty.
If you need a negative fraction, write the minus sign in the left cell.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please contact us.

Solution

Your input: convert 230050 into a decimal.

Write the problem in the special format:

46.0502300

Step 1

How many 50's are in 2? The answer is 0.

Write down the calculated result in the upper part of the table.

Now, 2-0 \cdot 50 = 2 - 0= 2.

Bring down the next digit of the dividend.

\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccccc}\color{Chartreuse}{0}&\phantom{0}&\phantom{4}&\phantom{6}&\phantom{.}&\phantom{0}\end{array}&\\\color{Magenta}{50}&\phantom{-}\enclose{longdiv}{\begin{array}{cccccc}\color{Chartreuse}{2}& 3 \downarrow&0&0&.&0\end{array}}&\\&\begin{array}{lllll}-&\phantom{3}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}0&\phantom{.}\\\hline\phantom{lll}2&3&\phantom{.}\end{array}&\begin{array}{c}\end{array}\end{array}

Step 2

How many 50's are in 23? The answer is 0.

Write down the calculated result in the upper part of the table.

Now, 23-0 \cdot 50 = 23 - 0= 23.

Bring down the next digit of the dividend.

\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccccc}0&\color{Red}{0}&\phantom{4}&\phantom{6}&\phantom{.}&\phantom{0}\end{array}&\\\color{Magenta}{50}&\phantom{-}\enclose{longdiv}{\begin{array}{cccccc}2&3& 0 \downarrow&0&.&0\end{array}}&\\&\begin{array}{lllll}-&\phantom{3}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}0&\phantom{.}\\\hline\phantom{lll}\color{Red}{2}&\color{Red}{3}&\phantom{.}\\-&\phantom{3}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}&0&\phantom{.}\\\hline\phantom{lll}2&3&0&\phantom{.}\end{array}&\begin{array}{c}\end{array}\end{array}

Step 3

How many 50's are in 230? The answer is 4.

Write down the calculated result in the upper part of the table.

Now, 230-4 \cdot 50 = 230 - 200= 30.

Bring down the next digit of the dividend.

\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccccc}0&0&\color{Violet}{4}&\phantom{6}&\phantom{.}&\phantom{0}\end{array}&\\\color{Magenta}{50}&\phantom{-}\enclose{longdiv}{\begin{array}{cccccc}2&3&0& 0 \downarrow&.&0\end{array}}&\\&\begin{array}{lllll}-&\phantom{3}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}0&\phantom{.}\\\hline\phantom{lll}2&3&\phantom{.}\\-&\phantom{3}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}&0&\phantom{.}\\\hline\phantom{lll}\color{Violet}{2}&\color{Violet}{3}&\color{Violet}{0}&\phantom{.}\\-&\phantom{3}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}2&0&0&\phantom{.}\\\hline\phantom{lll}&3&0&0&\phantom{.}\end{array}&\begin{array}{c}\end{array}\end{array}

Step 4

How many 50's are in 300? The answer is 6.

Write down the calculated result in the upper part of the table.

Now, 300-6 \cdot 50 = 300 - 300= 0.

Bring down the next digit of the dividend.

\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccccc}0&0&4&\color{Peru}{6}&\phantom{.}&\phantom{0}\end{array}&\\\color{Magenta}{50}&\phantom{-}\enclose{longdiv}{\begin{array}{cccccc}2&3&0&0&.& 0 \downarrow\end{array}}&\\&\begin{array}{lllll}-&\phantom{3}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}0&\phantom{.}\\\hline\phantom{lll}2&3&\phantom{.}\\-&\phantom{3}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}&0&\phantom{.}\\\hline\phantom{lll}2&3&0&\phantom{.}\\-&\phantom{3}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}2&0&0&\phantom{.}\\\hline\phantom{lll}&\color{Peru}{3}&\color{Peru}{0}&\color{Peru}{0}&\phantom{.}\\-&\phantom{3}&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}\\\phantom{lll}&3&0&0&\phantom{.}\\\hline\phantom{lll}&&&0&\phantom{.}&0\end{array}&\begin{array}{c}\end{array}\end{array}

Step 5

How many 50's are in 0? The answer is 0.

Write down the calculated result in the upper part of the table.

Now, 0-0 \cdot 50 = 0 - 0= 0.

\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cccccc}0&0&4&6&.&\color{Blue}{0}\end{array}&\\\color{Magenta}{50}&\phantom{-}\enclose{longdiv}{\begin{array}{cccccc}2&3&0&0&.&0\end{array}}&\\&\begin{array}{lllll}-&\phantom{3}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}0&\phantom{.}\\\hline\phantom{lll}2&3&\phantom{.}\\-&\phantom{3}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}&0&\phantom{.}\\\hline\phantom{lll}2&3&0&\phantom{.}\\-&\phantom{3}&\phantom{0}&\phantom{0}&\phantom{0}&\phantom{.}\\\phantom{lll}2&0&0&\phantom{.}\\\hline\phantom{lll}&3&0&0&\phantom{.}\\-&\phantom{3}&\phantom{0}&\phantom{0}&\phantom{.}&\phantom{0}\\\phantom{lll}&3&0&0&\phantom{.}\\\hline\phantom{lll}&&&\color{Blue}{0}&\phantom{.}&\color{Blue}{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{2300}{50}=46.0

Answer: \frac{2300}{50}=46.0