Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-4}{-7}\right)+\left(\frac{-10}{-13}\right)\\= \frac{-4}{7}+\frac{10}{13}\\=\frac{-52}{91}+\frac{70}{91}\\=\frac{-52+70}{91}\\=\frac{18}{91}\)
2. \(-\left(\frac{-7}{-8}\right)-\left(\frac{13}{-12}\right)\\= \frac{-7}{8}+\frac{13}{12}\\=\frac{-21}{24}+\frac{26}{24}\\=\frac{-21+26}{24}\\=\frac{5}{24}\)
3. \(-\left(\frac{7}{3}\right)-\left(\frac{2}{-5}\right)\\= \frac{-7}{3}+\frac{2}{5}\\=\frac{-35}{15}+\frac{6}{15}\\=\frac{-35+6}{15}\\=\frac{-29}{15}\)
4. \(+\left(\frac{-14}{-11}\right)+\left(\frac{14}{-13}\right)\\= \frac{14}{11}-\frac{14}{13}\\=\frac{182}{143}-\frac{154}{143}\\=\frac{182-154}{143}\\=\frac{28}{143}\)
5. \(+\left(\frac{-5}{11}\right)-\left(\frac{4}{-9}\right)\\= \frac{-5}{11}+\frac{4}{9}\\=\frac{-45}{99}+\frac{44}{99}\\=\frac{-45+44}{99}\\=\frac{-1}{99}\)
6. \(-\left(\frac{8}{-5}\right)-\left(\frac{7}{6}\right)\\= \frac{8}{5}-\frac{7}{6}\\=\frac{48}{30}-\frac{35}{30}\\=\frac{48-35}{30}\\=\frac{13}{30}\)
7. \(+\left(\frac{8}{-3}\right)+\left(\frac{7}{4}\right)\\= \frac{-8}{3}+\frac{7}{4}\\=\frac{-32}{12}+\frac{21}{12}\\=\frac{-32+21}{12}\\=\frac{-11}{12}\)
8. \(-\left(\frac{12}{-7}\right)-\left(\frac{8}{3}\right)\\= \frac{12}{7}-\frac{8}{3}\\=\frac{36}{21}-\frac{56}{21}\\=\frac{36-56}{21}\\=\frac{-20}{21}\)
9. \(+\left(\frac{14}{5}\right)+\left(\frac{5}{8}\right)\\= \frac{14}{5}+\frac{5}{8}\\=\frac{112}{40}+\frac{25}{40}\\=\frac{112+25}{40}\\=\frac{137}{40}\)
10. \(-\left(\frac{14}{-3}\right)-\left(\frac{-15}{-11}\right)\\= \frac{14}{3}-\frac{15}{11}\\=\frac{154}{33}-\frac{45}{33}\\=\frac{154-45}{33}\\=\frac{109}{33}\)
11. \(+\left(\frac{-13}{-8}\right)-\left(\frac{-2}{3}\right)\\= \frac{13}{8}+\frac{2}{3}\\=\frac{39}{24}+\frac{16}{24}\\=\frac{39+16}{24}\\=\frac{55}{24}\)
12. \(+\left(\frac{11}{-13}\right)-\left(\frac{-7}{11}\right)\\= \frac{-11}{13}+\frac{7}{11}\\=\frac{-121}{143}+\frac{91}{143}\\=\frac{-121+91}{143}\\=\frac{-30}{143}\)