Decimaal naar breuk

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Zet het decimaal getal om naar een breuk

1. \(-3,89\)
2. \(7,35\)
3. \(15,7\)
4. \(-10,23\)
5. \(-10,996\)
6. \(4,47044\ldots\)
7. \(13,95151\ldots\)
8. \(-5,76\)
9. \(7,488\ldots\)
10. \(-3,98\)
11. \(6,653653\ldots\)
12. \(16,79\)

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Zet het decimaal getal om naar een breuk

Verbetersleutel

1. \(-3,89=\dfrac{-389}{100}\)
2. \(7,35=\dfrac{735}{100}=\dfrac{147}{20}\)
3. \(15,7=\dfrac{157}{10}\)
4. \(-10,23=\dfrac{-1023}{100}\)
5. \(-10,996=\dfrac{-10996}{1000}=\dfrac{-2749}{250}\)
6. \(x = 4,470\textbf{4}\textbf{4}\ldots\Leftrightarrow \begin{array}{ r | r }10000x & 44704{,}44\ldots \\1000x & 4470{,}44\ldots \\\hline9000x & 40234,00\ldots \end{array}\Leftrightarrow x = \dfrac{40234}{9000}= \dfrac{20117}{4500}\)
7. \(x = 13,9\textbf{51}\textbf{51}\ldots\Leftrightarrow \begin{array}{ r | r }1000x & 13951{,}5151\ldots \\10x & 139{,}5151\ldots \\\hline990x & 13812,0000\ldots \end{array}\Leftrightarrow x = \dfrac{13812}{990}= \dfrac{2302}{165}\)
8. \(-5,76=\dfrac{-576}{100}=\dfrac{-144}{25}\)
9. \(x = 7,4\textbf{8}\textbf{8}\ldots\Leftrightarrow \begin{array}{ r | r }100x & 748{,}88\ldots \\10x & 74{,}88\ldots \\\hline90x & 674,00\ldots \end{array}\Leftrightarrow x = \dfrac{674}{90}= \dfrac{337}{45}\)
10. \(-3,98=\dfrac{-398}{100}=\dfrac{-199}{50}\)
11. \(x = 6,\textbf{653}\textbf{653}\ldots\Leftrightarrow \begin{array}{ r | r }1000x & 6653{,}653653\ldots \\1x & 6{,}653653\ldots \\\hline999x & 6647,000000\ldots \end{array}\Leftrightarrow x = \dfrac{6647}{999}\)
12. \(16,79=\dfrac{1679}{100}\)