Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-4}{-7}\right)+\left(\frac{6}{13}\right)\\= \frac{4}{7}+\frac{6}{13}\\=\frac{52}{91}+\frac{42}{91}\\=\frac{52+42}{91}\\=\frac{94}{91}\)
2. \(-\left(\frac{12}{5}\right)-\left(\frac{-7}{-4}\right)\\= \frac{-12}{5}-\frac{7}{4}\\=\frac{-48}{20}-\frac{35}{20}\\=\frac{-48-35}{20}\\=\frac{-83}{20}\)
3. \(-\left(\frac{-13}{14}\right)+\left(\frac{7}{-9}\right)\\= \frac{13}{14}-\frac{7}{9}\\=\frac{117}{126}-\frac{98}{126}\\=\frac{117-98}{126}\\=\frac{19}{126}\)
4. \(+\left(\frac{-15}{7}\right)-\left(\frac{10}{3}\right)\\= \frac{-15}{7}-\frac{10}{3}\\=\frac{-45}{21}-\frac{70}{21}\\=\frac{-45-70}{21}\\=\frac{-115}{21}\)
5. \(+\left(\frac{-15}{14}\right)-\left(\frac{3}{14}\right)\\= \frac{-15}{14}-\frac{3}{14}\\=\frac{-15-3}{14}\\=\frac{-18}{14}\\=\frac{-9}{7}\)
6. \(-\left(\frac{-10}{7}\right)-\left(\frac{13}{-12}\right)\\= \frac{10}{7}+\frac{13}{12}\\=\frac{120}{84}+\frac{91}{84}\\=\frac{120+91}{84}\\=\frac{211}{84}\)
7. \(+\left(\frac{14}{-9}\right)+\left(\frac{-6}{-5}\right)\\= \frac{-14}{9}+\frac{6}{5}\\=\frac{-70}{45}+\frac{54}{45}\\=\frac{-70+54}{45}\\=\frac{-16}{45}\)
8. \(-\left(\frac{15}{-13}\right)+\left(\frac{-8}{-3}\right)\\= \frac{15}{13}+\frac{8}{3}\\=\frac{45}{39}+\frac{104}{39}\\=\frac{45+104}{39}\\=\frac{149}{39}\)
9. \(-\left(\frac{-3}{5}\right)+\left(\frac{10}{9}\right)\\= \frac{3}{5}+\frac{10}{9}\\=\frac{27}{45}+\frac{50}{45}\\=\frac{27+50}{45}\\=\frac{77}{45}\)
10. \(+\left(\frac{-15}{13}\right)-\left(\frac{-2}{-11}\right)\\= \frac{-15}{13}-\frac{2}{11}\\=\frac{-165}{143}-\frac{26}{143}\\=\frac{-165-26}{143}\\=\frac{-191}{143}\)
11. \(-\left(\frac{-13}{2}\right)+\left(\frac{-8}{-13}\right)\\= \frac{13}{2}+\frac{8}{13}\\=\frac{169}{26}+\frac{16}{26}\\=\frac{169+16}{26}\\=\frac{185}{26}\)
12. \(+\left(\frac{-8}{13}\right)+\left(\frac{-13}{-9}\right)\\= \frac{-8}{13}+\frac{13}{9}\\=\frac{-72}{117}+\frac{169}{117}\\=\frac{-72+169}{117}\\=\frac{97}{117}\)