Decimaal naar breuk

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Zet het decimaal getal om naar een breuk

1. \(9,4733\ldots\)
2. \(4,159\)
3. \(-6,63\)
4. \(8,7\)
5. \(-5,7\)
6. \(-1,542\)
7. \(4,8\)
8. \(-15,64\)
9. \(-4,39\)
10. \(-14,866\)
11. \(19,817520520\ldots\)
12. \(18,7202929\ldots\)

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Zet het decimaal getal om naar een breuk

Verbetersleutel

1. \(x = 9,47\textbf{3}\textbf{3}\ldots\Leftrightarrow \begin{array}{ r | r }1000x & 9473{,}33\ldots \\100x & 947{,}33\ldots \\\hline900x & 8526,00\ldots \end{array}\Leftrightarrow x = \dfrac{8526}{900}= \dfrac{1421}{150}\)
2. \(4,159=\dfrac{4159}{1000}\)
3. \(-6,63=\dfrac{-663}{100}\)
4. \(8,7=\dfrac{87}{10}\)
5. \(-5,7=\dfrac{-57}{10}\)
6. \(-1,542=\dfrac{-1542}{1000}=\dfrac{-771}{500}\)
7. \(4,8=\dfrac{48}{10}=\dfrac{24}{5}\)
8. \(-15,64=\dfrac{-1564}{100}=\dfrac{-391}{25}\)
9. \(-4,39=\dfrac{-439}{100}\)
10. \(-14,866=\dfrac{-14866}{1000}=\dfrac{-7433}{500}\)
11. \(x = 19,817\textbf{520}\textbf{520}\ldots\Leftrightarrow \begin{array}{ r | r }1000000x & 19817520{,}52520\ldots \\1000x & 19817{,}52052\ldots \\\hline999000x & 19797703,000000\ldots \end{array}\Leftrightarrow x = \dfrac{19797703}{999000}\)
12. \(x = 18,720\textbf{29}\textbf{29}\ldots\Leftrightarrow \begin{array}{ r | r }100000x & 1872029{,}2929\ldots \\1000x & 18720{,}2929\ldots \\\hline99000x & 1853309,0000\ldots \end{array}\Leftrightarrow x = \dfrac{1853309}{99000}\)