Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-4}{-5}\right)+\left(\frac{4}{3}\right)\\= \frac{-4}{5}+\frac{4}{3}\\=\frac{-12}{15}+\frac{20}{15}\\=\frac{-12+20}{15}\\=\frac{8}{15}\)
2. \(+\left(\frac{6}{-5}\right)+\left(\frac{-5}{-7}\right)\\= \frac{-6}{5}+\frac{5}{7}\\=\frac{-42}{35}+\frac{25}{35}\\=\frac{-42+25}{35}\\=\frac{-17}{35}\)
3. \(+\left(\frac{-2}{-3}\right)-\left(\frac{8}{-3}\right)\\= \frac{2}{3}+\frac{8}{3}\\=\frac{2+8}{3}\\=\frac{10}{3}\)
4. \(-\left(\frac{8}{-3}\right)+\left(\frac{4}{-3}\right)\\= \frac{8}{3}-\frac{4}{3}\\=\frac{8-4}{3}\\=\frac{4}{3}\)
5. \(-\left(\frac{11}{12}\right)-\left(\frac{14}{-9}\right)\\= \frac{-11}{12}+\frac{14}{9}\\=\frac{-33}{36}+\frac{56}{36}\\=\frac{-33+56}{36}\\=\frac{23}{36}\)
6. \(+\left(\frac{8}{-11}\right)+\left(\frac{9}{13}\right)\\= \frac{-8}{11}+\frac{9}{13}\\=\frac{-104}{143}+\frac{99}{143}\\=\frac{-104+99}{143}\\=\frac{-5}{143}\)
7. \(-\left(\frac{-2}{-5}\right)-\left(\frac{-12}{11}\right)\\= \frac{-2}{5}+\frac{12}{11}\\=\frac{-22}{55}+\frac{60}{55}\\=\frac{-22+60}{55}\\=\frac{38}{55}\)
8. \(-\left(\frac{12}{-5}\right)+\left(\frac{10}{-7}\right)\\= \frac{12}{5}-\frac{10}{7}\\=\frac{84}{35}-\frac{50}{35}\\=\frac{84-50}{35}\\=\frac{34}{35}\)
9. \(+\left(\frac{-7}{-2}\right)+\left(\frac{-13}{14}\right)\\= \frac{7}{2}-\frac{13}{14}\\=\frac{49}{14}-\frac{13}{14}\\=\frac{49-13}{14}\\=\frac{36}{14}\\=\frac{18}{7}\)
10. \(+\left(\frac{-11}{12}\right)+\left(\frac{-9}{-7}\right)\\= \frac{-11}{12}+\frac{9}{7}\\=\frac{-77}{84}+\frac{108}{84}\\=\frac{-77+108}{84}\\=\frac{31}{84}\)
11. \(+\left(\frac{5}{6}\right)+\left(\frac{-13}{-12}\right)\\= \frac{5}{6}+\frac{13}{12}\\=\frac{10}{12}+\frac{13}{12}\\=\frac{10+13}{12}\\=\frac{23}{12}\)
12. \(-\left(\frac{9}{11}\right)-\left(\frac{-12}{-11}\right)\\= \frac{-9}{11}-\frac{12}{11}\\=\frac{-9-12}{11}\\=\frac{-21}{11}\)