Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{15}{-11}\right)-\left(\frac{8}{7}\right)\\= \frac{-15}{11}-\frac{8}{7}\\=\frac{-105}{77}-\frac{88}{77}\\=\frac{-105-88}{77}\\=\frac{-193}{77}\)
2. \(-\left(\frac{3}{14}\right)+\left(\frac{3}{14}\right)\\= \frac{-3}{14}+\frac{3}{14}\\=\frac{-3+3}{14}\\=\frac{0}{14}\\=\frac{0}{1}\)
3. \(-\left(\frac{8}{-11}\right)-\left(\frac{10}{-7}\right)\\= \frac{8}{11}+\frac{10}{7}\\=\frac{56}{77}+\frac{110}{77}\\=\frac{56+110}{77}\\=\frac{166}{77}\)
4. \(-\left(\frac{9}{-13}\right)+\left(\frac{3}{11}\right)\\= \frac{9}{13}+\frac{3}{11}\\=\frac{99}{143}+\frac{39}{143}\\=\frac{99+39}{143}\\=\frac{138}{143}\)
5. \(-\left(\frac{7}{-3}\right)-\left(\frac{-3}{-4}\right)\\= \frac{7}{3}-\frac{3}{4}\\=\frac{28}{12}-\frac{9}{12}\\=\frac{28-9}{12}\\=\frac{19}{12}\)
6. \(+\left(\frac{-7}{11}\right)-\left(\frac{-15}{4}\right)\\= \frac{-7}{11}+\frac{15}{4}\\=\frac{-28}{44}+\frac{165}{44}\\=\frac{-28+165}{44}\\=\frac{137}{44}\)
7. \(-\left(\frac{15}{2}\right)+\left(\frac{10}{3}\right)\\= \frac{-15}{2}+\frac{10}{3}\\=\frac{-45}{6}+\frac{20}{6}\\=\frac{-45+20}{6}\\=\frac{-25}{6}\)
8. \(-\left(\frac{-4}{-11}\right)+\left(\frac{10}{7}\right)\\= \frac{-4}{11}+\frac{10}{7}\\=\frac{-28}{77}+\frac{110}{77}\\=\frac{-28+110}{77}\\=\frac{82}{77}\)
9. \(-\left(\frac{-9}{-4}\right)-\left(\frac{13}{-12}\right)\\= \frac{-9}{4}+\frac{13}{12}\\=\frac{-27}{12}+\frac{13}{12}\\=\frac{-27+13}{12}\\=\frac{-14}{12}\\=\frac{-7}{6}\)
10. \(+\left(\frac{-7}{-2}\right)-\left(\frac{-11}{-13}\right)\\= \frac{7}{2}-\frac{11}{13}\\=\frac{91}{26}-\frac{22}{26}\\=\frac{91-22}{26}\\=\frac{69}{26}\)
11. \(+\left(\frac{-6}{11}\right)-\left(\frac{7}{-2}\right)\\= \frac{-6}{11}+\frac{7}{2}\\=\frac{-12}{22}+\frac{77}{22}\\=\frac{-12+77}{22}\\=\frac{65}{22}\)
12. \(+\left(\frac{-9}{4}\right)-\left(\frac{-6}{5}\right)\\= \frac{-9}{4}+\frac{6}{5}\\=\frac{-45}{20}+\frac{24}{20}\\=\frac{-45+24}{20}\\=\frac{-21}{20}\)