Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-3}{-13}\right)-\left(\frac{-11}{12}\right)\\= \frac{-3}{13}+\frac{11}{12}\\=\frac{-36}{156}+\frac{143}{156}\\=\frac{-36+143}{156}\\=\frac{107}{156}\)
2. \(-\left(\frac{8}{-7}\right)+\left(\frac{15}{-4}\right)\\= \frac{8}{7}-\frac{15}{4}\\=\frac{32}{28}-\frac{105}{28}\\=\frac{32-105}{28}\\=\frac{-73}{28}\)
3. \(+\left(\frac{-13}{14}\right)+\left(\frac{-3}{13}\right)\\= \frac{-13}{14}-\frac{3}{13}\\=\frac{-169}{182}-\frac{42}{182}\\=\frac{-169-42}{182}\\=\frac{-211}{182}\)
4. \(+\left(\frac{-5}{3}\right)+\left(\frac{-2}{3}\right)\\= \frac{-5}{3}-\frac{2}{3}\\=\frac{-5-2}{3}\\=\frac{-7}{3}\)
5. \(-\left(\frac{-7}{11}\right)+\left(\frac{15}{-4}\right)\\= \frac{7}{11}-\frac{15}{4}\\=\frac{28}{44}-\frac{165}{44}\\=\frac{28-165}{44}\\=\frac{-137}{44}\)
6. \(-\left(\frac{8}{-9}\right)-\left(\frac{9}{-11}\right)\\= \frac{8}{9}+\frac{9}{11}\\=\frac{88}{99}+\frac{81}{99}\\=\frac{88+81}{99}\\=\frac{169}{99}\)
7. \(-\left(\frac{-3}{10}\right)-\left(\frac{-3}{-2}\right)\\= \frac{3}{10}-\frac{3}{2}\\=\frac{3-3}{10}\\=\frac{0}{10}\\=\frac{0}{1}\)
8. \(+\left(\frac{13}{-2}\right)+\left(\frac{-12}{-11}\right)\\= \frac{-13}{2}+\frac{12}{11}\\=\frac{-143}{22}+\frac{24}{22}\\=\frac{-143+24}{22}\\=\frac{-119}{22}\)
9. \(-\left(\frac{-12}{-11}\right)+\left(\frac{-13}{-2}\right)\\= \frac{-12}{11}+\frac{13}{2}\\=\frac{-24}{22}+\frac{143}{22}\\=\frac{-24+143}{22}\\=\frac{119}{22}\)
10. \(-\left(\frac{5}{-14}\right)+\left(\frac{-13}{-14}\right)\\= \frac{5}{14}+\frac{13}{14}\\=\frac{5+13}{14}\\=\frac{18}{14}\\=\frac{9}{7}\)
11. \(-\left(\frac{-15}{2}\right)+\left(\frac{15}{-2}\right)\\= \frac{15}{2}-\frac{15}{2}\\=\frac{15-15}{2}\\=\frac{0}{2}\\=\frac{0}{1}\)
12. \(-\left(\frac{8}{13}\right)+\left(\frac{4}{-9}\right)\\= \frac{-8}{13}-\frac{4}{9}\\=\frac{-72}{117}-\frac{52}{117}\\=\frac{-72-52}{117}\\=\frac{-124}{117}\)