Zet het decimaal getal om naar een breuk
- \(3,9935454\ldots\)
- \(16,907341341\ldots\)
- \(11,1655\ldots\)
- \(15,310\)
- \(1,5\)
- \(10,232918918\ldots\)
- \(-20,6\)
- \(12,33\ldots\)
- \(3,3\)
- \(6,66\ldots\)
- \(17,426868\ldots\)
- \(15,26\)
Zet het decimaal getal om naar een breuk
Verbetersleutel
- \(x = 3,993\textbf{54}\textbf{54}\ldots\Leftrightarrow \begin{array}{ r | r }100000x & 399354{,}5454\ldots \\1000x & 3993{,}5454\ldots \\\hline99000x & 395361,0000\ldots \end{array}\Leftrightarrow x = \dfrac{395361}{99000}= \dfrac{43929}{11000}\)
- \(x = 16,907\textbf{341}\textbf{341}\ldots\Leftrightarrow \begin{array}{ r | r }1000000x & 16907341{,}341341\ldots \\1000x & 16907{,}341341\ldots \\\hline999000x & 16890434,000000\ldots \end{array}\Leftrightarrow x = \dfrac{16890434}{999000}= \dfrac{8445217}{499500}\)
- \(x = 11,16\textbf{5}\textbf{5}\ldots\Leftrightarrow \begin{array}{ r | r }1000x & 11165{,}55\ldots \\100x & 1116{,}55\ldots \\\hline900x & 10049,00\ldots \end{array}\Leftrightarrow x = \dfrac{10049}{900}\)
- \(15,310=\dfrac{15310}{1000}=\dfrac{1531}{100}\)
- \(1,5=\dfrac{15}{10}=\dfrac{3}{2}\)
- \(x = 10,232\textbf{918}\textbf{918}\ldots\Leftrightarrow \begin{array}{ r | r }1000000x & 10232918{,}918918\ldots \\1000x & 10232{,}918918\ldots \\\hline999000x & 10222686,000000\ldots \end{array}\Leftrightarrow x = \dfrac{10222686}{999000}= \dfrac{189309}{18500}\)
- \(-20,6=\dfrac{-206}{10}=\dfrac{-103}{5}\)
- \(x = 12,\textbf{3}\textbf{3}\ldots\Leftrightarrow \begin{array}{ r | r }10x & 123{,}33\ldots \\1x & 12{,}33\ldots \\\hline9x & 111,00\ldots \end{array}\Leftrightarrow x = \dfrac{111}{9}= \dfrac{37}{3}\)
- \(3,3=\dfrac{33}{10}\)
- \(x = 6,\textbf{6}\textbf{6}\ldots\Leftrightarrow \begin{array}{ r | r }10x & 66{,}66\ldots \\1x & 6{,}66\ldots \\\hline9x & 60,00\ldots \end{array}\Leftrightarrow x = \dfrac{60}{9}= \dfrac{20}{3}\)
- \(x = 17,42\textbf{68}\textbf{68}\ldots\Leftrightarrow \begin{array}{ r | r }10000x & 174268{,}6868\ldots \\100x & 1742{,}6868\ldots \\\hline9900x & 172526,0000\ldots \end{array}\Leftrightarrow x = \dfrac{172526}{9900}= \dfrac{86263}{4950}\)
- \(15,26=\dfrac{1526}{100}=\dfrac{763}{50}\)