Breuken haakjesregel (reeks 2)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-7}{-3}\right) +\left(\frac{-2}{5}\right) -\left(\frac{4}{-11}\right)\\= \frac{-7}{3}- \frac{2}{5}+\frac{4}{11}\\=\frac{-385}{165}-\frac{66}{165}+\frac{60}{165}\\=\frac{-385-66+60}{165}\\=\frac{-391}{165}\)
2. \(+\left(\frac{8}{-9}\right) -\left(\frac{-8}{-4}\right) +\left(\frac{-11}{-10}\right)\\= \frac{-8}{9}- \frac{8}{4}+\frac{11}{10}\\=\frac{-8}{9}-\frac{2}{1}+\frac{11}{10}\\=\frac{-80}{90}-\frac{180}{90}+\frac{99}{90}\\=\frac{-80-180+99}{90}\\=\frac{-161}{90}\)
3. \(+\left(\frac{7}{-9}\right) +\left(\frac{-4}{-9}\right) +\left(\frac{6}{-8}\right)\\= \frac{-7}{9}+ \frac{4}{9}-\frac{6}{8}\\=\frac{-7}{9}+\frac{4}{9}-\frac{3}{4}\\=\frac{-28}{36}+\frac{16}{36}-\frac{27}{36}\\=\frac{-28+16-27}{36}\\=\frac{-39}{36}\\=\frac{-13}{12}\)
4. \(-\left(\frac{-9}{-4}\right) +\left(\frac{6}{3}\right) -\left(\frac{10}{3}\right)\\= \frac{-9}{4}+ \frac{6}{3}-\frac{10}{3}\\=\frac{-9}{4}+\frac{2}{1}-\frac{10}{3}\\=\frac{-27}{12}+\frac{24}{12}-\frac{40}{12}\\=\frac{-27+24-40}{12}\\=\frac{-43}{12}\)
5. \(+\left(\frac{6}{-7}\right) -\left(\frac{-8}{-4}\right) -\left(\frac{-11}{-12}\right)\\= \frac{-6}{7}- \frac{8}{4}-\frac{11}{12}\\=\frac{-6}{7}-\frac{2}{1}-\frac{11}{12}\\=\frac{-72}{84}-\frac{168}{84}-\frac{77}{84}\\=\frac{-72-168-77}{84}\\=\frac{-317}{84}\)
6. \(+\left(\frac{6}{-5}\right) -\left(\frac{4}{4}\right) -\left(\frac{5}{6}\right)\\= \frac{-6}{5}- \frac{4}{4}-\frac{5}{6}\\=\frac{-6}{5}-\frac{1}{1}-\frac{5}{6}\\=\frac{-36}{30}-\frac{30}{30}-\frac{25}{30}\\=\frac{-36-30-25}{30}\\=\frac{-91}{30}\)
7. \(-\left(\frac{2}{-9}\right) -\left(\frac{-9}{-3}\right) -\left(\frac{-5}{6}\right)\\= \frac{2}{9}- \frac{9}{3}+\frac{5}{6}\\=\frac{2}{9}-\frac{3}{1}+\frac{5}{6}\\=\frac{4}{18}-\frac{54}{18}+\frac{15}{18}\\=\frac{4-54+15}{18}\\=\frac{-35}{18}\)
8. \(-\left(\frac{8}{3}\right) +\left(\frac{7}{-8}\right) +\left(\frac{11}{4}\right)\\= \frac{-8}{3}- \frac{7}{8}+\frac{11}{4}\\=\frac{-64}{24}-\frac{21}{24}+\frac{66}{24}\\=\frac{-64-21+66}{24}\\=\frac{-19}{24}\)
9. \(+\left(\frac{8}{-9}\right) +\left(\frac{7}{-10}\right) +\left(\frac{5}{2}\right)\\= \frac{-8}{9}- \frac{7}{10}+\frac{5}{2}\\=\frac{-80}{90}-\frac{63}{90}+\frac{225}{90}\\=\frac{-80-63+225}{90}\\=\frac{82}{90}\\=\frac{41}{45}\)
10. \(+\left(\frac{-10}{3}\right) +\left(\frac{-7}{-5}\right) -\left(\frac{-12}{5}\right)\\= \frac{-10}{3}+ \frac{7}{5}+\frac{12}{5}\\=\frac{-50}{15}+\frac{21}{15}+\frac{36}{15}\\=\frac{-50+21+36}{15}\\=\frac{7}{15}\)
11. \(-\left(\frac{-8}{5}\right) -\left(\frac{-3}{-10}\right) -\left(\frac{-7}{4}\right)\\= \frac{8}{5}- \frac{3}{10}+\frac{7}{4}\\=\frac{32}{20}-\frac{6}{20}+\frac{35}{20}\\=\frac{32-6+35}{20}\\=\frac{61}{20}\)
12. \(-\left(\frac{9}{-7}\right) +\left(\frac{-8}{9}\right) -\left(\frac{-3}{-12}\right)\\= \frac{9}{7}- \frac{8}{9}-\frac{3}{12}\\=\frac{9}{7}-\frac{8}{9}-\frac{1}{4}\\=\frac{324}{252}-\frac{224}{252}-\frac{63}{252}\\=\frac{324-224-63}{252}\\=\frac{37}{252}\)