Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-7}{12}\right)-\left(\frac{-12}{5}\right)\\= \frac{7}{12}+\frac{12}{5}\\=\frac{35}{60}+\frac{144}{60}\\=\frac{35+144}{60}\\=\frac{179}{60}\)
2. \(-\left(\frac{7}{12}\right)+\left(\frac{-4}{-13}\right)\\= \frac{-7}{12}+\frac{4}{13}\\=\frac{-91}{156}+\frac{48}{156}\\=\frac{-91+48}{156}\\=\frac{-43}{156}\)
3. \(-\left(\frac{9}{7}\right)+\left(\frac{-7}{-11}\right)\\= \frac{-9}{7}+\frac{7}{11}\\=\frac{-99}{77}+\frac{49}{77}\\=\frac{-99+49}{77}\\=\frac{-50}{77}\)
4. \(-\left(\frac{3}{-10}\right)+\left(\frac{5}{-12}\right)\\= \frac{3}{10}-\frac{5}{12}\\=\frac{18}{60}-\frac{25}{60}\\=\frac{18-25}{60}\\=\frac{-7}{60}\)
5. \(-\left(\frac{-3}{7}\right)+\left(\frac{-8}{-5}\right)\\= \frac{3}{7}+\frac{8}{5}\\=\frac{15}{35}+\frac{56}{35}\\=\frac{15+56}{35}\\=\frac{71}{35}\)
6. \(+\left(\frac{7}{5}\right)-\left(\frac{4}{-7}\right)\\= \frac{7}{5}+\frac{4}{7}\\=\frac{49}{35}+\frac{20}{35}\\=\frac{49+20}{35}\\=\frac{69}{35}\)
7. \(-\left(\frac{-15}{14}\right)-\left(\frac{-4}{9}\right)\\= \frac{15}{14}+\frac{4}{9}\\=\frac{135}{126}+\frac{56}{126}\\=\frac{135+56}{126}\\=\frac{191}{126}\)
8. \(+\left(\frac{14}{-5}\right)-\left(\frac{-10}{11}\right)\\= \frac{-14}{5}+\frac{10}{11}\\=\frac{-154}{55}+\frac{50}{55}\\=\frac{-154+50}{55}\\=\frac{-104}{55}\)
9. \(-\left(\frac{-14}{-9}\right)+\left(\frac{13}{-4}\right)\\= \frac{-14}{9}-\frac{13}{4}\\=\frac{-56}{36}-\frac{117}{36}\\=\frac{-56-117}{36}\\=\frac{-173}{36}\)
10. \(+\left(\frac{7}{-3}\right)+\left(\frac{14}{11}\right)\\= \frac{-7}{3}+\frac{14}{11}\\=\frac{-77}{33}+\frac{42}{33}\\=\frac{-77+42}{33}\\=\frac{-35}{33}\)
11. \(+\left(\frac{9}{10}\right)+\left(\frac{2}{11}\right)\\= \frac{9}{10}+\frac{2}{11}\\=\frac{99}{110}+\frac{20}{110}\\=\frac{99+20}{110}\\=\frac{119}{110}\)
12. \(-\left(\frac{3}{-11}\right)+\left(\frac{-15}{-7}\right)\\= \frac{3}{11}+\frac{15}{7}\\=\frac{21}{77}+\frac{165}{77}\\=\frac{21+165}{77}\\=\frac{186}{77}\)