Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-9}{14}\right)-\left(\frac{-4}{3}\right)\\= \frac{9}{14}+\frac{4}{3}\\=\frac{27}{42}+\frac{56}{42}\\=\frac{27+56}{42}\\=\frac{83}{42}\)
2. \(-\left(\frac{4}{3}\right)-\left(\frac{4}{3}\right)\\= \frac{-4}{3}-\frac{4}{3}\\=\frac{-4-4}{3}\\=\frac{-8}{3}\)
3. \(+\left(\frac{-12}{13}\right)-\left(\frac{-15}{11}\right)\\= \frac{-12}{13}+\frac{15}{11}\\=\frac{-132}{143}+\frac{195}{143}\\=\frac{-132+195}{143}\\=\frac{63}{143}\)
4. \(-\left(\frac{-12}{-5}\right)-\left(\frac{-12}{-7}\right)\\= \frac{-12}{5}-\frac{12}{7}\\=\frac{-84}{35}-\frac{60}{35}\\=\frac{-84-60}{35}\\=\frac{-144}{35}\)
5. \(-\left(\frac{5}{-3}\right)-\left(\frac{3}{7}\right)\\= \frac{5}{3}-\frac{3}{7}\\=\frac{35}{21}-\frac{9}{21}\\=\frac{35-9}{21}\\=\frac{26}{21}\)
6. \(+\left(\frac{13}{-11}\right)+\left(\frac{3}{-14}\right)\\= \frac{-13}{11}-\frac{3}{14}\\=\frac{-182}{154}-\frac{33}{154}\\=\frac{-182-33}{154}\\=\frac{-215}{154}\)
7. \(-\left(\frac{-15}{-4}\right)-\left(\frac{2}{-9}\right)\\= \frac{-15}{4}+\frac{2}{9}\\=\frac{-135}{36}+\frac{8}{36}\\=\frac{-135+8}{36}\\=\frac{-127}{36}\)
8. \(+\left(\frac{10}{13}\right)-\left(\frac{14}{-3}\right)\\= \frac{10}{13}+\frac{14}{3}\\=\frac{30}{39}+\frac{182}{39}\\=\frac{30+182}{39}\\=\frac{212}{39}\)
9. \(+\left(\frac{-2}{13}\right)-\left(\frac{5}{4}\right)\\= \frac{-2}{13}-\frac{5}{4}\\=\frac{-8}{52}-\frac{65}{52}\\=\frac{-8-65}{52}\\=\frac{-73}{52}\)
10. \(-\left(\frac{-15}{-14}\right)-\left(\frac{-10}{-3}\right)\\= \frac{-15}{14}-\frac{10}{3}\\=\frac{-45}{42}-\frac{140}{42}\\=\frac{-45-140}{42}\\=\frac{-185}{42}\)
11. \(-\left(\frac{-6}{-13}\right)-\left(\frac{-10}{3}\right)\\= \frac{-6}{13}+\frac{10}{3}\\=\frac{-18}{39}+\frac{130}{39}\\=\frac{-18+130}{39}\\=\frac{112}{39}\)
12. \(-\left(\frac{-9}{-11}\right)-\left(\frac{14}{5}\right)\\= \frac{-9}{11}-\frac{14}{5}\\=\frac{-45}{55}-\frac{154}{55}\\=\frac{-45-154}{55}\\=\frac{-199}{55}\)