Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{12}{-5}\right)-\left(\frac{6}{5}\right)\\= \frac{12}{5}-\frac{6}{5}\\=\frac{12-6}{5}\\=\frac{6}{5}\)
2. \(+\left(\frac{5}{-7}\right)+\left(\frac{15}{-13}\right)\\= \frac{-5}{7}-\frac{15}{13}\\=\frac{-65}{91}-\frac{105}{91}\\=\frac{-65-105}{91}\\=\frac{-170}{91}\)
3. \(-\left(\frac{-14}{3}\right)+\left(\frac{-3}{13}\right)\\= \frac{14}{3}-\frac{3}{13}\\=\frac{182}{39}-\frac{9}{39}\\=\frac{182-9}{39}\\=\frac{173}{39}\)
4. \(+\left(\frac{-7}{-2}\right)-\left(\frac{6}{-11}\right)\\= \frac{7}{2}+\frac{6}{11}\\=\frac{77}{22}+\frac{12}{22}\\=\frac{77+12}{22}\\=\frac{89}{22}\)
5. \(-\left(\frac{4}{-7}\right)+\left(\frac{-8}{-11}\right)\\= \frac{4}{7}+\frac{8}{11}\\=\frac{44}{77}+\frac{56}{77}\\=\frac{44+56}{77}\\=\frac{100}{77}\)
6. \(+\left(\frac{10}{-13}\right)-\left(\frac{-14}{5}\right)\\= \frac{-10}{13}+\frac{14}{5}\\=\frac{-50}{65}+\frac{182}{65}\\=\frac{-50+182}{65}\\=\frac{132}{65}\)
7. \(+\left(\frac{-12}{-11}\right)-\left(\frac{-15}{-4}\right)\\= \frac{12}{11}-\frac{15}{4}\\=\frac{48}{44}-\frac{165}{44}\\=\frac{48-165}{44}\\=\frac{-117}{44}\)
8. \(-\left(\frac{-11}{-12}\right)+\left(\frac{-14}{9}\right)\\= \frac{-11}{12}-\frac{14}{9}\\=\frac{-33}{36}-\frac{56}{36}\\=\frac{-33-56}{36}\\=\frac{-89}{36}\)
9. \(+\left(\frac{8}{13}\right)-\left(\frac{5}{11}\right)\\= \frac{8}{13}-\frac{5}{11}\\=\frac{88}{143}-\frac{65}{143}\\=\frac{88-65}{143}\\=\frac{23}{143}\)
10. \(-\left(\frac{-15}{-13}\right)+\left(\frac{-6}{7}\right)\\= \frac{-15}{13}-\frac{6}{7}\\=\frac{-105}{91}-\frac{78}{91}\\=\frac{-105-78}{91}\\=\frac{-183}{91}\)
11. \(+\left(\frac{-9}{-10}\right)-\left(\frac{-8}{-13}\right)\\= \frac{9}{10}-\frac{8}{13}\\=\frac{117}{130}-\frac{80}{130}\\=\frac{117-80}{130}\\=\frac{37}{130}\)
12. \(+\left(\frac{-12}{-11}\right)+\left(\frac{5}{-2}\right)\\= \frac{12}{11}-\frac{5}{2}\\=\frac{24}{22}-\frac{55}{22}\\=\frac{24-55}{22}\\=\frac{-31}{22}\)