Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-13}{-14}\right)-\left(\frac{2}{7}\right)\\= \frac{-13}{14}-\frac{2}{7}\\=\frac{-13-2}{14}\\=\frac{-15}{14}\)
2. \(+\left(\frac{-5}{-11}\right)-\left(\frac{7}{13}\right)\\= \frac{5}{11}-\frac{7}{13}\\=\frac{65}{143}-\frac{77}{143}\\=\frac{65-77}{143}\\=\frac{-12}{143}\)
3. \(+\left(\frac{4}{-13}\right)+\left(\frac{7}{6}\right)\\= \frac{-4}{13}+\frac{7}{6}\\=\frac{-24}{78}+\frac{91}{78}\\=\frac{-24+91}{78}\\=\frac{67}{78}\)
4. \(-\left(\frac{-13}{-9}\right)-\left(\frac{-10}{11}\right)\\= \frac{-13}{9}+\frac{10}{11}\\=\frac{-143}{99}+\frac{90}{99}\\=\frac{-143+90}{99}\\=\frac{-53}{99}\)
5. \(-\left(\frac{-7}{13}\right)-\left(\frac{-8}{3}\right)\\= \frac{7}{13}+\frac{8}{3}\\=\frac{21}{39}+\frac{104}{39}\\=\frac{21+104}{39}\\=\frac{125}{39}\)
6. \(+\left(\frac{-11}{-4}\right)-\left(\frac{5}{-9}\right)\\= \frac{11}{4}+\frac{5}{9}\\=\frac{99}{36}+\frac{20}{36}\\=\frac{99+20}{36}\\=\frac{119}{36}\)
7. \(+\left(\frac{4}{-3}\right)+\left(\frac{5}{-13}\right)\\= \frac{-4}{3}-\frac{5}{13}\\=\frac{-52}{39}-\frac{15}{39}\\=\frac{-52-15}{39}\\=\frac{-67}{39}\)
8. \(+\left(\frac{-10}{-3}\right)+\left(\frac{-8}{-13}\right)\\= \frac{10}{3}+\frac{8}{13}\\=\frac{130}{39}+\frac{24}{39}\\=\frac{130+24}{39}\\=\frac{154}{39}\)
9. \(+\left(\frac{13}{-5}\right)-\left(\frac{-10}{-13}\right)\\= \frac{-13}{5}-\frac{10}{13}\\=\frac{-169}{65}-\frac{50}{65}\\=\frac{-169-50}{65}\\=\frac{-219}{65}\)
10. \(-\left(\frac{-7}{-4}\right)-\left(\frac{11}{6}\right)\\= \frac{-7}{4}-\frac{11}{6}\\=\frac{-21}{12}-\frac{22}{12}\\=\frac{-21-22}{12}\\=\frac{-43}{12}\)
11. \(+\left(\frac{-5}{-4}\right)+\left(\frac{13}{-3}\right)\\= \frac{5}{4}-\frac{13}{3}\\=\frac{15}{12}-\frac{52}{12}\\=\frac{15-52}{12}\\=\frac{-37}{12}\)
12. \(+\left(\frac{-3}{10}\right)-\left(\frac{7}{5}\right)\\= \frac{-3}{10}-\frac{7}{5}\\=\frac{-3-7}{10}\\=\frac{-10}{10}\\=\frac{-1}{1}\)