Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-15}{-13}\right)-\left(\frac{-4}{3}\right)\\= \frac{-15}{13}+\frac{4}{3}\\=\frac{-45}{39}+\frac{52}{39}\\=\frac{-45+52}{39}\\=\frac{7}{39}\)
2. \(+\left(\frac{-14}{-5}\right)+\left(\frac{8}{11}\right)\\= \frac{14}{5}+\frac{8}{11}\\=\frac{154}{55}+\frac{40}{55}\\=\frac{154+40}{55}\\=\frac{194}{55}\)
3. \(+\left(\frac{-4}{13}\right)-\left(\frac{-13}{2}\right)\\= \frac{-4}{13}+\frac{13}{2}\\=\frac{-8}{26}+\frac{169}{26}\\=\frac{-8+169}{26}\\=\frac{161}{26}\)
4. \(-\left(\frac{8}{11}\right)+\left(\frac{-2}{7}\right)\\= \frac{-8}{11}-\frac{2}{7}\\=\frac{-56}{77}-\frac{22}{77}\\=\frac{-56-22}{77}\\=\frac{-78}{77}\)
5. \(+\left(\frac{-14}{9}\right)+\left(\frac{8}{3}\right)\\= \frac{-14}{9}+\frac{8}{3}\\=\frac{-14+8}{9}\\=\frac{-6}{9}\\=\frac{-2}{3}\)
6. \(-\left(\frac{-4}{-11}\right)+\left(\frac{12}{11}\right)\\= \frac{-4}{11}+\frac{12}{11}\\=\frac{-4+12}{11}\\=\frac{8}{11}\)
7. \(+\left(\frac{-13}{-7}\right)-\left(\frac{11}{13}\right)\\= \frac{13}{7}-\frac{11}{13}\\=\frac{169}{91}-\frac{77}{91}\\=\frac{169-77}{91}\\=\frac{92}{91}\)
8. \(+\left(\frac{-4}{7}\right)+\left(\frac{13}{14}\right)\\= \frac{-4}{7}+\frac{13}{14}\\=\frac{-8}{14}+\frac{13}{14}\\=\frac{-8+13}{14}\\=\frac{5}{14}\)
9. \(-\left(\frac{-7}{-11}\right)+\left(\frac{12}{-5}\right)\\= \frac{-7}{11}-\frac{12}{5}\\=\frac{-35}{55}-\frac{132}{55}\\=\frac{-35-132}{55}\\=\frac{-167}{55}\)
10. \(+\left(\frac{-11}{12}\right)+\left(\frac{4}{7}\right)\\= \frac{-11}{12}+\frac{4}{7}\\=\frac{-77}{84}+\frac{48}{84}\\=\frac{-77+48}{84}\\=\frac{-29}{84}\)
11. \(-\left(\frac{-5}{6}\right)+\left(\frac{-15}{-2}\right)\\= \frac{5}{6}+\frac{15}{2}\\=\frac{5+15}{6}\\=\frac{20}{6}\\=\frac{10}{3}\)
12. \(+\left(\frac{-8}{11}\right)-\left(\frac{13}{-3}\right)\\= \frac{-8}{11}+\frac{13}{3}\\=\frac{-24}{33}+\frac{143}{33}\\=\frac{-24+143}{33}\\=\frac{119}{33}\)