Breuken aftrekken (reeks 2)

Hoofdmenu Eentje per keer  🖨

Trek de breuken af

1. \(\frac{1}{11}-\frac{16}{17}\)
2. \(\frac{2}{11}-\frac{14}{5}\)
3. \(\frac{5}{6}-\frac{11}{6}\)
4. \(\frac{18}{11}-\frac{12}{19}\)
5. \(\frac{20}{9}-\frac{5}{9}\)
6. \(\frac{-7}{5}-\frac{17}{7}\)
7. \(\frac{6}{5}-\frac{12}{17}\)
8. \(\frac{16}{15}-\frac{5}{14}\)
9. \(\frac{17}{12}-\frac{13}{6}\)
10. \(\frac{2}{17}-\frac{10}{11}\)
11. \(\frac{13}{16}-\frac{12}{7}\)
12. \(\frac{-2}{17}-\frac{16}{5}\)

---

Trek de breuken af

Verbetersleutel

1. \(\frac{1}{11}-\frac{16}{17}\\=\frac{17}{187}-\frac{176}{187}\\=\frac{17-176}{187}\\=\frac{-159}{187}\)
2. \(\frac{2}{11}-\frac{14}{5}\\=\frac{10}{55}-\frac{154}{55}\\=\frac{10-154}{55}\\=\frac{-144}{55}\)
3. \(\frac{5}{6}-\frac{11}{6}\\=\frac{5-11}{6}\\=\frac{-6}{6}\\=\frac{-1}{1}\)
4. \(\frac{18}{11}-\frac{12}{19}\\=\frac{342}{209}-\frac{132}{209}\\=\frac{342-132}{209}\\=\frac{210}{209}\)
5. \(\frac{20}{9}-\frac{5}{9}\\=\frac{20-5}{9}\\=\frac{15}{9}\\=\frac{5}{3}\)
6. \(\frac{-7}{5}-\frac{17}{7}\\=\frac{-49}{35}-\frac{85}{35}\\=\frac{-49-85}{35}\\=\frac{-134}{35}\)
7. \(\frac{6}{5}-\frac{12}{17}\\=\frac{102}{85}-\frac{60}{85}\\=\frac{102-60}{85}\\=\frac{42}{85}\)
8. \(\frac{16}{15}-\frac{5}{14}\\=\frac{224}{210}-\frac{75}{210}\\=\frac{224-75}{210}\\=\frac{149}{210}\)
9. \(\frac{17}{12}-\frac{13}{6}\\=\frac{17-13}{12}\\=\frac{4}{12}\\=\frac{1}{3}\)
10. \(\frac{2}{17}-\frac{10}{11}\\=\frac{22}{187}-\frac{170}{187}\\=\frac{22-170}{187}\\=\frac{-148}{187}\)
11. \(\frac{13}{16}-\frac{12}{7}\\=\frac{91}{112}-\frac{192}{112}\\=\frac{91-192}{112}\\=\frac{-101}{112}\)
12. \(\frac{-2}{17}-\frac{16}{5}\\=\frac{-10}{85}-\frac{272}{85}\\=\frac{-10-272}{85}\\=\frac{-282}{85}\)