Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{15}{7}\right)-\left(\frac{-10}{-11}\right)\\= \frac{-15}{7}-\frac{10}{11}\\=\frac{-165}{77}-\frac{70}{77}\\=\frac{-165-70}{77}\\=\frac{-235}{77}\)
2. \(-\left(\frac{4}{-13}\right)-\left(\frac{11}{-12}\right)\\= \frac{4}{13}+\frac{11}{12}\\=\frac{48}{156}+\frac{143}{156}\\=\frac{48+143}{156}\\=\frac{191}{156}\)
3. \(+\left(\frac{-13}{11}\right)+\left(\frac{-5}{3}\right)\\= \frac{-13}{11}-\frac{5}{3}\\=\frac{-39}{33}-\frac{55}{33}\\=\frac{-39-55}{33}\\=\frac{-94}{33}\)
4. \(+\left(\frac{-9}{2}\right)-\left(\frac{-9}{-13}\right)\\= \frac{-9}{2}-\frac{9}{13}\\=\frac{-117}{26}-\frac{18}{26}\\=\frac{-117-18}{26}\\=\frac{-135}{26}\)
5. \(+\left(\frac{-14}{9}\right)+\left(\frac{-15}{11}\right)\\= \frac{-14}{9}-\frac{15}{11}\\=\frac{-154}{99}-\frac{135}{99}\\=\frac{-154-135}{99}\\=\frac{-289}{99}\)
6. \(+\left(\frac{-7}{11}\right)-\left(\frac{7}{-9}\right)\\= \frac{-7}{11}+\frac{7}{9}\\=\frac{-63}{99}+\frac{77}{99}\\=\frac{-63+77}{99}\\=\frac{14}{99}\)
7. \(-\left(\frac{-9}{13}\right)+\left(\frac{3}{-7}\right)\\= \frac{9}{13}-\frac{3}{7}\\=\frac{63}{91}-\frac{39}{91}\\=\frac{63-39}{91}\\=\frac{24}{91}\)
8. \(+\left(\frac{15}{-11}\right)-\left(\frac{13}{-6}\right)\\= \frac{-15}{11}+\frac{13}{6}\\=\frac{-90}{66}+\frac{143}{66}\\=\frac{-90+143}{66}\\=\frac{53}{66}\)
9. \(+\left(\frac{-2}{-9}\right)-\left(\frac{4}{-5}\right)\\= \frac{2}{9}+\frac{4}{5}\\=\frac{10}{45}+\frac{36}{45}\\=\frac{10+36}{45}\\=\frac{46}{45}\)
10. \(-\left(\frac{15}{-11}\right)-\left(\frac{-4}{5}\right)\\= \frac{15}{11}+\frac{4}{5}\\=\frac{75}{55}+\frac{44}{55}\\=\frac{75+44}{55}\\=\frac{119}{55}\)
11. \(+\left(\frac{12}{5}\right)+\left(\frac{8}{3}\right)\\= \frac{12}{5}+\frac{8}{3}\\=\frac{36}{15}+\frac{40}{15}\\=\frac{36+40}{15}\\=\frac{76}{15}\)
12. \(+\left(\frac{9}{-14}\right)+\left(\frac{-12}{5}\right)\\= \frac{-9}{14}-\frac{12}{5}\\=\frac{-45}{70}-\frac{168}{70}\\=\frac{-45-168}{70}\\=\frac{-213}{70}\)