Decimaal naar breuk

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Zet het decimaal getal om naar een breuk

1. \(12,924\)
2. \(-1,8\)
3. \(10,71\)
4. \(10,35656\ldots\)
5. \(-16,2\)
6. \(19,5999\ldots\)
7. \(-20,5\)
8. \(-19,85\)
9. \(4,2467171\ldots\)
10. \(13,170\)
11. \(-14,93\)
12. \(-10,6\)

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Zet het decimaal getal om naar een breuk

Verbetersleutel

1. \(12,924=\dfrac{12924}{1000}=\dfrac{3231}{250}\)
2. \(-1,8=\dfrac{-18}{10}=\dfrac{-9}{5}\)
3. \(10,71=\dfrac{1071}{100}\)
4. \(x = 10,3\textbf{56}\textbf{56}\ldots\Leftrightarrow \begin{array}{ r | r }1000x & 10356,5656\ldots \\10x & 103,5656\ldots \\\hline990x & 10253,0000\ldots \end{array}\Leftrightarrow x = \dfrac{10253}{990}\)
5. \(-16,2=\dfrac{-162}{10}=\dfrac{-81}{5}\)
6. \(x = 19,59\textbf{9}\textbf{9}\ldots\Leftrightarrow \begin{array}{ r | r }1000x & 19599,99\ldots \\100x & 1959,99\ldots \\\hline900x & 17640,00\ldots \end{array}\Leftrightarrow x = \dfrac{17640}{900}= \dfrac{98}{5}\)
7. \(-20,5=\dfrac{-205}{10}=\dfrac{-41}{2}\)
8. \(-19,85=\dfrac{-1985}{100}=\dfrac{-397}{20}\)
9. \(x = 4,246\textbf{71}\textbf{71}\ldots\Leftrightarrow \begin{array}{ r | r }100000x & 424671,7171\ldots \\1000x & 4246,7171\ldots \\\hline99000x & 420425,0000\ldots \end{array}\Leftrightarrow x = \dfrac{420425}{99000}= \dfrac{16817}{3960}\)
10. \(13,170=\dfrac{13170}{1000}=\dfrac{1317}{100}\)
11. \(-14,93=\dfrac{-1493}{100}\)
12. \(-10,6=\dfrac{-106}{10}=\dfrac{-53}{5}\)