Breuken haakjesregel (reeks 2)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-8}{7}\right) +\left(\frac{9}{-8}\right) -\left(\frac{-10}{-5}\right)\\= \frac{-8}{7}- \frac{9}{8}-\frac{10}{5}\\=\frac{-8}{7}-\frac{9}{8}-\frac{2}{1}\\=\frac{-64}{56}-\frac{63}{56}-\frac{112}{56}\\=\frac{-64-63-112}{56}\\=\frac{-239}{56}\)
2. \(+\left(\frac{3}{-4}\right) -\left(\frac{7}{5}\right) +\left(\frac{4}{2}\right)\\= \frac{-3}{4}- \frac{7}{5}+\frac{4}{2}\\=\frac{-3}{4}-\frac{7}{5}+\frac{2}{1}\\=\frac{-15}{20}-\frac{28}{20}+\frac{40}{20}\\=\frac{-15-28+40}{20}\\=\frac{-3}{20}\)
3. \(-\left(\frac{9}{5}\right) -\left(\frac{-6}{3}\right) -\left(\frac{3}{-11}\right)\\= \frac{-9}{5}+ \frac{6}{3}+\frac{3}{11}\\=\frac{-9}{5}+\frac{2}{1}+\frac{3}{11}\\=\frac{-99}{55}+\frac{110}{55}+\frac{15}{55}\\=\frac{-99+110+15}{55}\\=\frac{26}{55}\)
4. \(-\left(\frac{-9}{-8}\right) +\left(\frac{-9}{-9}\right) +\left(\frac{2}{5}\right)\\= \frac{-9}{8}+ \frac{9}{9}+\frac{2}{5}\\=\frac{-9}{8}+\frac{1}{1}+\frac{2}{5}\\=\frac{-45}{40}+\frac{40}{40}+\frac{16}{40}\\=\frac{-45+40+16}{40}\\=\frac{11}{40}\)
5. \(-\left(\frac{9}{7}\right) -\left(\frac{-6}{-4}\right) -\left(\frac{9}{-10}\right)\\= \frac{-9}{7}- \frac{6}{4}+\frac{9}{10}\\=\frac{-9}{7}-\frac{3}{2}+\frac{9}{10}\\=\frac{-90}{70}-\frac{105}{70}+\frac{63}{70}\\=\frac{-90-105+63}{70}\\=\frac{-132}{70}\\=\frac{-66}{35}\)
6. \(-\left(\frac{7}{-2}\right) -\left(\frac{8}{-8}\right) +\left(\frac{-5}{7}\right)\\= \frac{7}{2}+ \frac{8}{8}-\frac{5}{7}\\=\frac{7}{2}+\frac{1}{1}-\frac{5}{7}\\=\frac{49}{14}+\frac{14}{14}-\frac{10}{14}\\=\frac{49+14-10}{14}\\=\frac{53}{14}\)
7. \(-\left(\frac{2}{-9}\right) -\left(\frac{6}{-9}\right) -\left(\frac{-8}{-6}\right)\\= \frac{2}{9}+ \frac{6}{9}-\frac{8}{6}\\=\frac{2}{9}+\frac{2}{3}-\frac{4}{3}\\=\frac{2+2-4}{9}\\=\frac{0}{9}\\=\frac{0}{1}\)
8. \(-\left(\frac{10}{-3}\right) -\left(\frac{4}{-9}\right) +\left(\frac{4}{-11}\right)\\= \frac{10}{3}+ \frac{4}{9}-\frac{4}{11}\\=\frac{330}{99}+\frac{44}{99}-\frac{36}{99}\\=\frac{330+44-36}{99}\\=\frac{338}{99}\)
9. \(+\left(\frac{7}{8}\right) +\left(\frac{8}{7}\right) -\left(\frac{8}{5}\right)\\= \frac{7}{8}+ \frac{8}{7}-\frac{8}{5}\\=\frac{245}{280}+\frac{320}{280}-\frac{448}{280}\\=\frac{245+320-448}{280}\\=\frac{117}{280}\)
10. \(-\left(\frac{-6}{-5}\right) -\left(\frac{-7}{-3}\right) -\left(\frac{3}{-2}\right)\\= \frac{-6}{5}- \frac{7}{3}+\frac{3}{2}\\=\frac{-36}{30}-\frac{70}{30}+\frac{45}{30}\\=\frac{-36-70+45}{30}\\=\frac{-61}{30}\)
11. \(+\left(\frac{8}{-9}\right) -\left(\frac{8}{5}\right) +\left(\frac{-9}{-3}\right)\\= \frac{-8}{9}- \frac{8}{5}+\frac{9}{3}\\=\frac{-8}{9}-\frac{8}{5}+\frac{3}{1}\\=\frac{-40}{45}-\frac{72}{45}+\frac{135}{45}\\=\frac{-40-72+135}{45}\\=\frac{23}{45}\)
12. \(+\left(\frac{-3}{-2}\right) -\left(\frac{8}{2}\right) +\left(\frac{-3}{-6}\right)\\= \frac{3}{2}- \frac{8}{2}+\frac{3}{6}\\=\frac{3}{2}-\frac{4}{1}+\frac{1}{2}\\=\frac{3-4+1}{2}\\=\frac{0}{2}\\=\frac{0}{1}\)