Breuken haakjesregel (reeks 2)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-5}{2}\right) +\left(\frac{3}{4}\right) -\left(\frac{4}{-2}\right)\\= \frac{5}{2}+ \frac{3}{4}+\frac{4}{2}\\=\frac{5}{2}+\frac{3}{4}+\frac{2}{1}\\=\frac{10}{4}+\frac{3}{4}+\frac{8}{4}\\=\frac{10+3+8}{4}\\=\frac{21}{4}\)
2. \(+\left(\frac{8}{3}\right) +\left(\frac{-9}{-9}\right) -\left(\frac{-3}{-4}\right)\\= \frac{8}{3}+ \frac{9}{9}-\frac{3}{4}\\=\frac{8}{3}+\frac{1}{1}-\frac{3}{4}\\=\frac{32}{12}+\frac{12}{12}-\frac{9}{12}\\=\frac{32+12-9}{12}\\=\frac{35}{12}\)
3. \(-\left(\frac{-8}{9}\right) -\left(\frac{-10}{-8}\right) +\left(\frac{-7}{-10}\right)\\= \frac{8}{9}- \frac{10}{8}+\frac{7}{10}\\=\frac{8}{9}-\frac{5}{4}+\frac{7}{10}\\=\frac{160}{180}-\frac{225}{180}+\frac{126}{180}\\=\frac{160-225+126}{180}\\=\frac{61}{180}\)
4. \(-\left(\frac{-8}{-5}\right) +\left(\frac{-7}{9}\right) +\left(\frac{-11}{2}\right)\\= \frac{-8}{5}- \frac{7}{9}-\frac{11}{2}\\=\frac{-144}{90}-\frac{70}{90}-\frac{495}{90}\\=\frac{-144-70-495}{90}\\=\frac{-709}{90}\)
5. \(-\left(\frac{10}{-9}\right) +\left(\frac{9}{2}\right) +\left(\frac{-11}{-6}\right)\\= \frac{10}{9}+ \frac{9}{2}+\frac{11}{6}\\=\frac{20}{18}+\frac{81}{18}+\frac{33}{18}\\=\frac{20+81+33}{18}\\=\frac{134}{18}\\=\frac{67}{9}\)
6. \(+\left(\frac{-8}{5}\right) +\left(\frac{-7}{7}\right) -\left(\frac{-9}{8}\right)\\= \frac{-8}{5}- \frac{7}{7}+\frac{9}{8}\\=\frac{-8}{5}-\frac{1}{1}+\frac{9}{8}\\=\frac{-64}{40}-\frac{40}{40}+\frac{45}{40}\\=\frac{-64-40+45}{40}\\=\frac{-59}{40}\)
7. \(+\left(\frac{8}{-9}\right) -\left(\frac{-6}{2}\right) -\left(\frac{-7}{-10}\right)\\= \frac{-8}{9}+ \frac{6}{2}-\frac{7}{10}\\=\frac{-8}{9}+\frac{3}{1}-\frac{7}{10}\\=\frac{-80}{90}+\frac{270}{90}-\frac{63}{90}\\=\frac{-80+270-63}{90}\\=\frac{127}{90}\)
8. \(-\left(\frac{-7}{4}\right) -\left(\frac{8}{7}\right) -\left(\frac{-9}{10}\right)\\= \frac{7}{4}- \frac{8}{7}+\frac{9}{10}\\=\frac{245}{140}-\frac{160}{140}+\frac{126}{140}\\=\frac{245-160+126}{140}\\=\frac{211}{140}\)
9. \(+\left(\frac{7}{-8}\right) +\left(\frac{-7}{-4}\right) +\left(\frac{-6}{-9}\right)\\= \frac{-7}{8}+ \frac{7}{4}+\frac{6}{9}\\=\frac{-7}{8}+\frac{7}{4}+\frac{2}{3}\\=\frac{-21}{24}+\frac{42}{24}+\frac{16}{24}\\=\frac{-21+42+16}{24}\\=\frac{37}{24}\)
10. \(-\left(\frac{2}{9}\right) -\left(\frac{-3}{9}\right) +\left(\frac{-2}{9}\right)\\= \frac{-2}{9}+ \frac{3}{9}-\frac{2}{9}\\=\frac{-2}{9}+\frac{1}{3}-\frac{2}{9}\\=\frac{-2+1-2}{9}\\=\frac{-3}{9}\\=\frac{-1}{3}\)
11. \(-\left(\frac{5}{3}\right) +\left(\frac{4}{10}\right) -\left(\frac{-5}{8}\right)\\= \frac{-5}{3}+ \frac{4}{10}+\frac{5}{8}\\=\frac{-5}{3}+\frac{2}{5}+\frac{5}{8}\\=\frac{-200}{120}+\frac{48}{120}+\frac{75}{120}\\=\frac{-200+48+75}{120}\\=\frac{-77}{120}\)
12. \(+\left(\frac{8}{-9}\right) -\left(\frac{5}{-7}\right) -\left(\frac{-8}{9}\right)\\= \frac{-8}{9}+ \frac{5}{7}+\frac{8}{9}\\=\frac{-56}{63}+\frac{45}{63}+\frac{56}{63}\\=\frac{-56+45+56}{63}\\=\frac{45}{63}\\=\frac{5}{7}\)