Breuken haakjesregel (reeks 2)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-10}{-7}\right) +\left(\frac{4}{3}\right) +\left(\frac{5}{2}\right)\\= \frac{10}{7}+ \frac{4}{3}+\frac{5}{2}\\=\frac{60}{42}+\frac{56}{42}+\frac{105}{42}\\=\frac{60+56+105}{42}\\=\frac{221}{42}\)
2. \(+\left(\frac{4}{-5}\right) +\left(\frac{6}{-4}\right) -\left(\frac{-4}{4}\right)\\= \frac{-4}{5}- \frac{6}{4}+\frac{4}{4}\\=\frac{-4}{5}-\frac{3}{2}+\frac{1}{1}\\=\frac{-8}{10}-\frac{15}{10}+\frac{10}{10}\\=\frac{-8-15+10}{10}\\=\frac{-13}{10}\)
3. \(-\left(\frac{-4}{9}\right) -\left(\frac{8}{-10}\right) -\left(\frac{-6}{8}\right)\\= \frac{4}{9}+ \frac{8}{10}+\frac{6}{8}\\=\frac{4}{9}+\frac{4}{5}+\frac{3}{4}\\=\frac{80}{180}+\frac{144}{180}+\frac{135}{180}\\=\frac{80+144+135}{180}\\=\frac{359}{180}\)
4. \(-\left(\frac{-9}{-2}\right) -\left(\frac{7}{-4}\right) +\left(\frac{10}{8}\right)\\= \frac{-9}{2}+ \frac{7}{4}+\frac{10}{8}\\=\frac{-9}{2}+\frac{7}{4}+\frac{5}{4}\\=\frac{-18}{4}+\frac{7}{4}+\frac{5}{4}\\=\frac{-18+7+5}{4}\\=\frac{-6}{4}\\=\frac{-3}{2}\)
5. \(-\left(\frac{-7}{-2}\right) +\left(\frac{-8}{-5}\right) +\left(\frac{2}{10}\right)\\= \frac{-7}{2}+ \frac{8}{5}+\frac{2}{10}\\=\frac{-7}{2}+\frac{8}{5}+\frac{1}{5}\\=\frac{-35}{10}+\frac{16}{10}+\frac{2}{10}\\=\frac{-35+16+2}{10}\\=\frac{-17}{10}\)
6. \(-\left(\frac{6}{5}\right) -\left(\frac{4}{-6}\right) +\left(\frac{-7}{11}\right)\\= \frac{-6}{5}+ \frac{4}{6}-\frac{7}{11}\\=\frac{-6}{5}+\frac{2}{3}-\frac{7}{11}\\=\frac{-198}{165}+\frac{110}{165}-\frac{105}{165}\\=\frac{-198+110-105}{165}\\=\frac{-193}{165}\)
7. \(+\left(\frac{4}{-5}\right) -\left(\frac{5}{-7}\right) -\left(\frac{9}{10}\right)\\= \frac{-4}{5}+ \frac{5}{7}-\frac{9}{10}\\=\frac{-56}{70}+\frac{50}{70}-\frac{63}{70}\\=\frac{-56+50-63}{70}\\=\frac{-69}{70}\)
8. \(-\left(\frac{8}{-3}\right) -\left(\frac{-5}{7}\right) -\left(\frac{4}{9}\right)\\= \frac{8}{3}+ \frac{5}{7}-\frac{4}{9}\\=\frac{168}{63}+\frac{45}{63}-\frac{28}{63}\\=\frac{168+45-28}{63}\\=\frac{185}{63}\)
9. \(+\left(\frac{9}{-5}\right) +\left(\frac{-5}{5}\right) -\left(\frac{12}{-3}\right)\\= \frac{-9}{5}- \frac{5}{5}+\frac{12}{3}\\=\frac{-9}{5}-\frac{1}{1}+\frac{4}{1}\\=\frac{-9-1+4}{5}\\=\frac{-6}{5}\)
10. \(+\left(\frac{-10}{-7}\right) +\left(\frac{-6}{3}\right) +\left(\frac{-5}{-8}\right)\\= \frac{10}{7}- \frac{6}{3}+\frac{5}{8}\\=\frac{10}{7}-\frac{2}{1}+\frac{5}{8}\\=\frac{80}{56}-\frac{112}{56}+\frac{35}{56}\\=\frac{80-112+35}{56}\\=\frac{3}{56}\)
11. \(-\left(\frac{6}{5}\right) -\left(\frac{5}{5}\right) +\left(\frac{7}{-2}\right)\\= \frac{-6}{5}- \frac{5}{5}-\frac{7}{2}\\=\frac{-6}{5}-\frac{1}{1}-\frac{7}{2}\\=\frac{-12}{10}-\frac{10}{10}-\frac{35}{10}\\=\frac{-12-10-35}{10}\\=\frac{-57}{10}\)
12. \(-\left(\frac{-4}{7}\right) -\left(\frac{-5}{-5}\right) -\left(\frac{-8}{6}\right)\\= \frac{4}{7}- \frac{5}{5}+\frac{8}{6}\\=\frac{4}{7}-\frac{1}{1}+\frac{4}{3}\\=\frac{12}{21}-\frac{21}{21}+\frac{28}{21}\\=\frac{12-21+28}{21}\\=\frac{19}{21}\)