Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-15}{7}\right)-\left(\frac{-6}{13}\right)\\= \frac{15}{7}+\frac{6}{13}\\=\frac{195}{91}+\frac{42}{91}\\=\frac{195+42}{91}\\=\frac{237}{91}\)
2. \(-\left(\frac{3}{-13}\right)-\left(\frac{13}{-8}\right)\\= \frac{3}{13}+\frac{13}{8}\\=\frac{24}{104}+\frac{169}{104}\\=\frac{24+169}{104}\\=\frac{193}{104}\)
3. \(+\left(\frac{-12}{5}\right)-\left(\frac{-2}{-5}\right)\\= \frac{-12}{5}-\frac{2}{5}\\=\frac{-12-2}{5}\\=\frac{-14}{5}\)
4. \(-\left(\frac{11}{8}\right)-\left(\frac{-13}{-2}\right)\\= \frac{-11}{8}-\frac{13}{2}\\=\frac{-11-13}{8}\\=\frac{-24}{8}\\=\frac{-3}{1}\)
5. \(-\left(\frac{-13}{-2}\right)+\left(\frac{-13}{-8}\right)\\= \frac{-13}{2}+\frac{13}{8}\\=\frac{-52}{8}+\frac{13}{8}\\=\frac{-52+13}{8}\\=\frac{-39}{8}\)
6. \(+\left(\frac{-3}{2}\right)-\left(\frac{9}{4}\right)\\= \frac{-3}{2}-\frac{9}{4}\\=\frac{-6}{4}-\frac{9}{4}\\=\frac{-6-9}{4}\\=\frac{-15}{4}\)
7. \(-\left(\frac{-8}{11}\right)+\left(\frac{14}{-13}\right)\\= \frac{8}{11}-\frac{14}{13}\\=\frac{104}{143}-\frac{154}{143}\\=\frac{104-154}{143}\\=\frac{-50}{143}\)
8. \(-\left(\frac{-9}{-4}\right)-\left(\frac{9}{14}\right)\\= \frac{-9}{4}-\frac{9}{14}\\=\frac{-63}{28}-\frac{18}{28}\\=\frac{-63-18}{28}\\=\frac{-81}{28}\)
9. \(-\left(\frac{3}{-4}\right)+\left(\frac{-14}{-3}\right)\\= \frac{3}{4}+\frac{14}{3}\\=\frac{9}{12}+\frac{56}{12}\\=\frac{9+56}{12}\\=\frac{65}{12}\)
10. \(-\left(\frac{-8}{9}\right)+\left(\frac{-3}{-13}\right)\\= \frac{8}{9}+\frac{3}{13}\\=\frac{104}{117}+\frac{27}{117}\\=\frac{104+27}{117}\\=\frac{131}{117}\)
11. \(+\left(\frac{-13}{-4}\right)+\left(\frac{6}{-11}\right)\\= \frac{13}{4}-\frac{6}{11}\\=\frac{143}{44}-\frac{24}{44}\\=\frac{143-24}{44}\\=\frac{119}{44}\)
12. \(+\left(\frac{10}{13}\right)+\left(\frac{14}{-9}\right)\\= \frac{10}{13}-\frac{14}{9}\\=\frac{90}{117}-\frac{182}{117}\\=\frac{90-182}{117}\\=\frac{-92}{117}\)