Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{6}{-11}\right)-\left(\frac{-7}{9}\right)\\= \frac{6}{11}+\frac{7}{9}\\=\frac{54}{99}+\frac{77}{99}\\=\frac{54+77}{99}\\=\frac{131}{99}\)
2. \(+\left(\frac{12}{7}\right)-\left(\frac{-9}{-2}\right)\\= \frac{12}{7}-\frac{9}{2}\\=\frac{24}{14}-\frac{63}{14}\\=\frac{24-63}{14}\\=\frac{-39}{14}\)
3. \(+\left(\frac{5}{-6}\right)-\left(\frac{-14}{11}\right)\\= \frac{-5}{6}+\frac{14}{11}\\=\frac{-55}{66}+\frac{84}{66}\\=\frac{-55+84}{66}\\=\frac{29}{66}\)
4. \(+\left(\frac{-4}{-11}\right)-\left(\frac{-15}{-13}\right)\\= \frac{4}{11}-\frac{15}{13}\\=\frac{52}{143}-\frac{165}{143}\\=\frac{52-165}{143}\\=\frac{-113}{143}\)
5. \(-\left(\frac{-13}{12}\right)-\left(\frac{7}{2}\right)\\= \frac{13}{12}-\frac{7}{2}\\=\frac{13-7}{12}\\=\frac{6}{12}\\=\frac{1}{2}\)
6. \(-\left(\frac{-13}{-14}\right)+\left(\frac{4}{3}\right)\\= \frac{-13}{14}+\frac{4}{3}\\=\frac{-39}{42}+\frac{56}{42}\\=\frac{-39+56}{42}\\=\frac{17}{42}\)
7. \(-\left(\frac{-15}{4}\right)-\left(\frac{-7}{11}\right)\\= \frac{15}{4}+\frac{7}{11}\\=\frac{165}{44}+\frac{28}{44}\\=\frac{165+28}{44}\\=\frac{193}{44}\)
8. \(-\left(\frac{-14}{-5}\right)-\left(\frac{13}{-14}\right)\\= \frac{-14}{5}+\frac{13}{14}\\=\frac{-196}{70}+\frac{65}{70}\\=\frac{-196+65}{70}\\=\frac{-131}{70}\)
9. \(-\left(\frac{10}{11}\right)-\left(\frac{-4}{-13}\right)\\= \frac{-10}{11}-\frac{4}{13}\\=\frac{-130}{143}-\frac{44}{143}\\=\frac{-130-44}{143}\\=\frac{-174}{143}\)
10. \(-\left(\frac{-8}{-7}\right)-\left(\frac{8}{9}\right)\\= \frac{-8}{7}-\frac{8}{9}\\=\frac{-72}{63}-\frac{56}{63}\\=\frac{-72-56}{63}\\=\frac{-128}{63}\)
11. \(+\left(\frac{-2}{-3}\right)-\left(\frac{8}{13}\right)\\= \frac{2}{3}-\frac{8}{13}\\=\frac{26}{39}-\frac{24}{39}\\=\frac{26-24}{39}\\=\frac{2}{39}\)
12. \(-\left(\frac{3}{-14}\right)-\left(\frac{11}{-4}\right)\\= \frac{3}{14}+\frac{11}{4}\\=\frac{6}{28}+\frac{77}{28}\\=\frac{6+77}{28}\\=\frac{83}{28}\)