Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{13}{10}\right)-\left(\frac{-14}{9}\right)\\= \frac{-13}{10}+\frac{14}{9}\\=\frac{-117}{90}+\frac{140}{90}\\=\frac{-117+140}{90}\\=\frac{23}{90}\)
2. \(-\left(\frac{7}{-5}\right)+\left(\frac{10}{-7}\right)\\= \frac{7}{5}-\frac{10}{7}\\=\frac{49}{35}-\frac{50}{35}\\=\frac{49-50}{35}\\=\frac{-1}{35}\)
3. \(-\left(\frac{15}{-2}\right)+\left(\frac{-6}{5}\right)\\= \frac{15}{2}-\frac{6}{5}\\=\frac{75}{10}-\frac{12}{10}\\=\frac{75-12}{10}\\=\frac{63}{10}\)
4. \(+\left(\frac{-9}{4}\right)-\left(\frac{15}{7}\right)\\= \frac{-9}{4}-\frac{15}{7}\\=\frac{-63}{28}-\frac{60}{28}\\=\frac{-63-60}{28}\\=\frac{-123}{28}\)
5. \(+\left(\frac{8}{3}\right)+\left(\frac{-7}{11}\right)\\= \frac{8}{3}-\frac{7}{11}\\=\frac{88}{33}-\frac{21}{33}\\=\frac{88-21}{33}\\=\frac{67}{33}\)
6. \(-\left(\frac{15}{13}\right)+\left(\frac{12}{-5}\right)\\= \frac{-15}{13}-\frac{12}{5}\\=\frac{-75}{65}-\frac{156}{65}\\=\frac{-75-156}{65}\\=\frac{-231}{65}\)
7. \(-\left(\frac{13}{-10}\right)-\left(\frac{-14}{13}\right)\\= \frac{13}{10}+\frac{14}{13}\\=\frac{169}{130}+\frac{140}{130}\\=\frac{169+140}{130}\\=\frac{309}{130}\)
8. \(-\left(\frac{-10}{3}\right)+\left(\frac{14}{-13}\right)\\= \frac{10}{3}-\frac{14}{13}\\=\frac{130}{39}-\frac{42}{39}\\=\frac{130-42}{39}\\=\frac{88}{39}\)
9. \(+\left(\frac{-12}{-11}\right)-\left(\frac{-2}{3}\right)\\= \frac{12}{11}+\frac{2}{3}\\=\frac{36}{33}+\frac{22}{33}\\=\frac{36+22}{33}\\=\frac{58}{33}\)
10. \(-\left(\frac{13}{9}\right)+\left(\frac{-9}{-2}\right)\\= \frac{-13}{9}+\frac{9}{2}\\=\frac{-26}{18}+\frac{81}{18}\\=\frac{-26+81}{18}\\=\frac{55}{18}\)
11. \(+\left(\frac{-8}{-13}\right)-\left(\frac{-14}{3}\right)\\= \frac{8}{13}+\frac{14}{3}\\=\frac{24}{39}+\frac{182}{39}\\=\frac{24+182}{39}\\=\frac{206}{39}\)
12. \(-\left(\frac{6}{-11}\right)+\left(\frac{4}{7}\right)\\= \frac{6}{11}+\frac{4}{7}\\=\frac{42}{77}+\frac{44}{77}\\=\frac{42+44}{77}\\=\frac{86}{77}\)