Breuken optellen (reeks 2)

Hoofdmenu Eentje per keer  🖨

Tel de breuken op

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

---

Tel de breuken op

Verbetersleutel

1. \(\frac{-20}{7}+\frac{2}{19}\\=\frac{-380}{133}+\frac{14}{133}\\=\frac{-380+14}{133}\\=\frac{-366}{133}\\=\frac{366}{-133}\)
2. \(\frac{-16}{17}+\frac{12}{17}\\=\frac{-16+12}{17}\\=\frac{-4}{17}\)
3. \(\frac{20}{3}+\frac{10}{13}\\=\frac{260}{39}+\frac{30}{39}\\=\frac{260+30}{39}\\=\frac{290}{39}\)
4. \(\frac{-2}{15}+\frac{20}{13}\\=\frac{-26}{195}+\frac{300}{195}\\=\frac{-26+300}{195}\\=\frac{274}{195}\)
5. \(\frac{1}{5}+\frac{17}{13}\\=\frac{13}{65}+\frac{85}{65}\\=\frac{13+85}{65}\\=\frac{98}{65}\)
6. \(\frac{-8}{13}+\frac{2}{11}\\=\frac{-88}{143}+\frac{26}{143}\\=\frac{-88+26}{143}\\=\frac{-62}{143}\\=\frac{62}{-143}\)
7. \(\frac{19}{6}+\frac{15}{13}\\=\frac{247}{78}+\frac{90}{78}\\=\frac{247+90}{78}\\=\frac{337}{78}\)
8. \(\frac{12}{13}+\frac{12}{17}\\=\frac{204}{221}+\frac{156}{221}\\=\frac{204+156}{221}\\=\frac{360}{221}\)
9. \(\frac{-10}{11}+\frac{15}{8}\\=\frac{-80}{88}+\frac{165}{88}\\=\frac{-80+165}{88}\\=\frac{85}{88}\)
10. \(\frac{18}{19}+\frac{14}{19}\\=\frac{18+14}{19}\\=\frac{32}{19}\)
11. \(\frac{-12}{5}+\frac{14}{17}\\=\frac{-204}{85}+\frac{70}{85}\\=\frac{-204+70}{85}\\=\frac{-134}{85}\)
12. \(\frac{15}{8}+\frac{8}{17}\\=\frac{255}{136}+\frac{64}{136}\\=\frac{255+64}{136}\\=\frac{319}{136}\)