Decimaal naar breuk

Hoofdmenu Eentje per keer  🖨

Zet het decimaal getal om naar een breuk

1. \(12,4\)
2. \(3,676\)
3. \(14,69266\ldots\)
4. \(-12,9\)
5. \(-1,432\)
6. \(-12,7\)
7. \(10,42589589\ldots\)
8. \(11,4\)
9. \(6,4\)
10. \(5,901\)
11. \(-12,3\)
12. \(15,22\ldots\)

---

Zet het decimaal getal om naar een breuk

Verbetersleutel

1. \(12,4=\dfrac{124}{10}=\dfrac{62}{5}\)
2. \(3,676=\dfrac{3676}{1000}=\dfrac{919}{250}\)
3. \(x = 14,692\textbf{6}\textbf{6}\ldots\Leftrightarrow \begin{array}{ r | r }10000x & 146926,66\ldots \\1000x & 14692,66\ldots \\\hline9000x & 132234,00\ldots \end{array}\Leftrightarrow x = \dfrac{132234}{9000}= \dfrac{22039}{1500}\)
4. \(-12,9=\dfrac{-129}{10}\)
5. \(-1,432=\dfrac{-1432}{1000}=\dfrac{-179}{125}\)
6. \(-12,7=\dfrac{-127}{10}\)
7. \(x = 10,42\textbf{589}\textbf{589}\ldots\Leftrightarrow \begin{array}{ r | r }100000x & 1042589,589589\ldots \\100x & 1042,589589\ldots \\\hline99900x & 1041547,000000\ldots \end{array}\Leftrightarrow x = \dfrac{1041547}{99900}\)
8. \(11,4=\dfrac{114}{10}=\dfrac{57}{5}\)
9. \(6,4=\dfrac{64}{10}=\dfrac{32}{5}\)
10. \(5,901=\dfrac{5901}{1000}\)
11. \(-12,3=\dfrac{-123}{10}\)
12. \(x = 15,\textbf{2}\textbf{2}\ldots\Leftrightarrow \begin{array}{ r | r }10x & 152,22\ldots \\1x & 15,22\ldots \\\hline9x & 137,00\ldots \end{array}\Leftrightarrow x = \dfrac{137}{9}\)