Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

1. \(+\left(\frac{4}{13}\right)-\left(\frac{-15}{11}\right)\)
2. \(+\left(\frac{-10}{-11}\right)-\left(\frac{9}{-11}\right)\)
3. \(+\left(\frac{-6}{-5}\right)+\left(\frac{-2}{3}\right)\)
4. \(+\left(\frac{-5}{2}\right)+\left(\frac{10}{13}\right)\)
5. \(+\left(\frac{2}{-3}\right)-\left(\frac{-8}{7}\right)\)
6. \(-\left(\frac{-3}{7}\right)+\left(\frac{-4}{3}\right)\)
7. \(-\left(\frac{-14}{3}\right)-\left(\frac{-2}{9}\right)\)
8. \(-\left(\frac{9}{-10}\right)+\left(\frac{8}{13}\right)\)
9. \(-\left(\frac{-14}{-11}\right)+\left(\frac{-12}{-5}\right)\)
10. \(+\left(\frac{11}{6}\right)-\left(\frac{6}{-11}\right)\)
11. \(+\left(\frac{-2}{9}\right)-\left(\frac{-6}{5}\right)\)
12. \(+\left(\frac{-10}{-13}\right)+\left(\frac{14}{-9}\right)\)

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Bereken

Verbetersleutel

1. \(+\left(\frac{4}{13}\right)-\left(\frac{-15}{11}\right)\\= \frac{4}{13}+\frac{15}{11}\\=\frac{44}{143}+\frac{195}{143}\\=\frac{44+195}{143}\\=\frac{239}{143}\)
2. \(+\left(\frac{-10}{-11}\right)-\left(\frac{9}{-11}\right)\\= \frac{10}{11}+\frac{9}{11}\\=\frac{10+9}{11}\\=\frac{19}{11}\)
3. \(+\left(\frac{-6}{-5}\right)+\left(\frac{-2}{3}\right)\\= \frac{6}{5}-\frac{2}{3}\\=\frac{18}{15}-\frac{10}{15}\\=\frac{18-10}{15}\\=\frac{8}{15}\)
4. \(+\left(\frac{-5}{2}\right)+\left(\frac{10}{13}\right)\\= \frac{-5}{2}+\frac{10}{13}\\=\frac{-65}{26}+\frac{20}{26}\\=\frac{-65+20}{26}\\=\frac{-45}{26}\)
5. \(+\left(\frac{2}{-3}\right)-\left(\frac{-8}{7}\right)\\= \frac{-2}{3}+\frac{8}{7}\\=\frac{-14}{21}+\frac{24}{21}\\=\frac{-14+24}{21}\\=\frac{10}{21}\)
6. \(-\left(\frac{-3}{7}\right)+\left(\frac{-4}{3}\right)\\= \frac{3}{7}-\frac{4}{3}\\=\frac{9}{21}-\frac{28}{21}\\=\frac{9-28}{21}\\=\frac{-19}{21}\)
7. \(-\left(\frac{-14}{3}\right)-\left(\frac{-2}{9}\right)\\= \frac{14}{3}+\frac{2}{9}\\=\frac{42}{9}+\frac{2}{9}\\=\frac{42+2}{9}\\=\frac{44}{9}\)
8. \(-\left(\frac{9}{-10}\right)+\left(\frac{8}{13}\right)\\= \frac{9}{10}+\frac{8}{13}\\=\frac{117}{130}+\frac{80}{130}\\=\frac{117+80}{130}\\=\frac{197}{130}\)
9. \(-\left(\frac{-14}{-11}\right)+\left(\frac{-12}{-5}\right)\\= \frac{-14}{11}+\frac{12}{5}\\=\frac{-70}{55}+\frac{132}{55}\\=\frac{-70+132}{55}\\=\frac{62}{55}\)
10. \(+\left(\frac{11}{6}\right)-\left(\frac{6}{-11}\right)\\= \frac{11}{6}+\frac{6}{11}\\=\frac{121}{66}+\frac{36}{66}\\=\frac{121+36}{66}\\=\frac{157}{66}\)
11. \(+\left(\frac{-2}{9}\right)-\left(\frac{-6}{5}\right)\\= \frac{-2}{9}+\frac{6}{5}\\=\frac{-10}{45}+\frac{54}{45}\\=\frac{-10+54}{45}\\=\frac{44}{45}\)
12. \(+\left(\frac{-10}{-13}\right)+\left(\frac{14}{-9}\right)\\= \frac{10}{13}-\frac{14}{9}\\=\frac{90}{117}-\frac{182}{117}\\=\frac{90-182}{117}\\=\frac{-92}{117}\)