Decimaal naar breuk

Hoofdmenu Eentje per keer  🖨

Zet het decimaal getal om naar een breuk

1. \(17,2\)
2. \(-7,916\)
3. \(2,37022\ldots\)
4. \(-16,668\)
5. \(5,477\ldots\)
6. \(7,4155\ldots\)
7. \(7,93\)
8. \(15,8\)
9. \(10,70\)
10. \(13,71\)
11. \(6,3838\ldots\)
12. \(8,41010\ldots\)

---

Zet het decimaal getal om naar een breuk

Verbetersleutel

1. \(17,2=\dfrac{172}{10}=\dfrac{86}{5}\)
2. \(-7,916=\dfrac{-7916}{1000}=\dfrac{-1979}{250}\)
3. \(x = 2,370\textbf{2}\textbf{2}\ldots\Leftrightarrow \begin{array}{ r | r }10000x & 23702{,}22\ldots \\1000x & 2370{,}22\ldots \\\hline9000x & 21332,00\ldots \end{array}\Leftrightarrow x = \dfrac{21332}{9000}= \dfrac{5333}{2250}\)
4. \(-16,668=\dfrac{-16668}{1000}=\dfrac{-4167}{250}\)
5. \(x = 5,4\textbf{7}\textbf{7}\ldots\Leftrightarrow \begin{array}{ r | r }100x & 547{,}77\ldots \\10x & 54{,}77\ldots \\\hline90x & 493,00\ldots \end{array}\Leftrightarrow x = \dfrac{493}{90}\)
6. \(x = 7,41\textbf{5}\textbf{5}\ldots\Leftrightarrow \begin{array}{ r | r }1000x & 7415{,}55\ldots \\100x & 741{,}55\ldots \\\hline900x & 6674,00\ldots \end{array}\Leftrightarrow x = \dfrac{6674}{900}= \dfrac{3337}{450}\)
7. \(7,93=\dfrac{793}{100}\)
8. \(15,8=\dfrac{158}{10}=\dfrac{79}{5}\)
9. \(10,70=\dfrac{1070}{100}=\dfrac{107}{10}\)
10. \(13,71=\dfrac{1371}{100}\)
11. \(x = 6,\textbf{38}\textbf{38}\ldots\Leftrightarrow \begin{array}{ r | r }100x & 638{,}3838\ldots \\1x & 6{,}3838\ldots \\\hline99x & 632,0000\ldots \end{array}\Leftrightarrow x = \dfrac{632}{99}\)
12. \(x = 8,4\textbf{10}\textbf{10}\ldots\Leftrightarrow \begin{array}{ r | r }1000x & 8410{,}110\ldots \\10x & 84{,}101\ldots \\\hline990x & 8326,0000\ldots \end{array}\Leftrightarrow x = \dfrac{8326}{990}= \dfrac{4163}{495}\)