Breuken haakjesregel (reeks 2)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(-\left(\frac{-3}{-2}\right) +\left(\frac{8}{-10}\right) +\left(\frac{-11}{4}\right)\\= \frac{-3}{2}- \frac{8}{10}-\frac{11}{4}\\=\frac{-3}{2}-\frac{4}{5}-\frac{11}{4}\\=\frac{-30}{20}-\frac{16}{20}-\frac{55}{20}\\=\frac{-30-16-55}{20}\\=\frac{-101}{20}\)
2. \(-\left(\frac{7}{-3}\right) +\left(\frac{5}{10}\right) +\left(\frac{-9}{11}\right)\\= \frac{7}{3}+ \frac{5}{10}-\frac{9}{11}\\=\frac{7}{3}+\frac{1}{2}-\frac{9}{11}\\=\frac{154}{66}+\frac{33}{66}-\frac{54}{66}\\=\frac{154+33-54}{66}\\=\frac{133}{66}\)
3. \(+\left(\frac{-4}{-5}\right) -\left(\frac{-9}{2}\right) -\left(\frac{-9}{-10}\right)\\= \frac{4}{5}+ \frac{9}{2}-\frac{9}{10}\\=\frac{8}{10}+\frac{45}{10}-\frac{9}{10}\\=\frac{8+45-9}{10}\\=\frac{44}{10}\\=\frac{22}{5}\)
4. \(-\left(\frac{7}{6}\right) +\left(\frac{-6}{3}\right) +\left(\frac{2}{-4}\right)\\= \frac{-7}{6}- \frac{6}{3}-\frac{2}{4}\\=\frac{-7}{6}-\frac{2}{1}-\frac{1}{2}\\=\frac{-7-2-1}{6}\\=\frac{-10}{6}\\=\frac{-5}{3}\)
5. \(+\left(\frac{-3}{2}\right) -\left(\frac{7}{2}\right) -\left(\frac{-12}{11}\right)\\= \frac{-3}{2}- \frac{7}{2}+\frac{12}{11}\\=\frac{-33}{22}-\frac{77}{22}+\frac{24}{22}\\=\frac{-33-77+24}{22}\\=\frac{-86}{22}\\=\frac{-43}{11}\)
6. \(+\left(\frac{-3}{-4}\right) +\left(\frac{-10}{5}\right) +\left(\frac{6}{-2}\right)\\= \frac{3}{4}- \frac{10}{5}-\frac{6}{2}\\=\frac{3}{4}-\frac{2}{1}-\frac{3}{1}\\=\frac{3-2-3}{4}\\=\frac{-2}{4}\\=\frac{-1}{2}\)
7. \(+\left(\frac{-7}{2}\right) +\left(\frac{2}{-5}\right) -\left(\frac{-5}{11}\right)\\= \frac{-7}{2}- \frac{2}{5}+\frac{5}{11}\\=\frac{-385}{110}-\frac{44}{110}+\frac{50}{110}\\=\frac{-385-44+50}{110}\\=\frac{-379}{110}\)
8. \(-\left(\frac{-8}{-5}\right) +\left(\frac{-4}{-2}\right) +\left(\frac{10}{-10}\right)\\= \frac{-8}{5}+ \frac{4}{2}-\frac{10}{10}\\=\frac{-8}{5}+\frac{2}{1}-\frac{1}{1}\\=\frac{-8+2-1}{5}\\=\frac{-7}{5}\)
9. \(-\left(\frac{-6}{-5}\right) -\left(\frac{4}{2}\right) -\left(\frac{-10}{-3}\right)\\= \frac{-6}{5}- \frac{4}{2}-\frac{10}{3}\\=\frac{-6}{5}-\frac{2}{1}-\frac{10}{3}\\=\frac{-18}{15}-\frac{30}{15}-\frac{50}{15}\\=\frac{-18-30-50}{15}\\=\frac{-98}{15}\)
10. \(+\left(\frac{-6}{5}\right) -\left(\frac{5}{-2}\right) -\left(\frac{4}{7}\right)\\= \frac{-6}{5}+ \frac{5}{2}-\frac{4}{7}\\=\frac{-84}{70}+\frac{175}{70}-\frac{40}{70}\\=\frac{-84+175-40}{70}\\=\frac{51}{70}\)
11. \(+\left(\frac{7}{-9}\right) +\left(\frac{10}{10}\right) -\left(\frac{7}{-4}\right)\\= \frac{-7}{9}+ \frac{10}{10}+\frac{7}{4}\\=\frac{-7}{9}+\frac{1}{1}+\frac{7}{4}\\=\frac{-28}{36}+\frac{36}{36}+\frac{63}{36}\\=\frac{-28+36+63}{36}\\=\frac{71}{36}\)
12. \(+\left(\frac{4}{5}\right) -\left(\frac{-10}{2}\right) -\left(\frac{11}{-9}\right)\\= \frac{4}{5}+ \frac{10}{2}+\frac{11}{9}\\=\frac{4}{5}+\frac{5}{1}+\frac{11}{9}\\=\frac{36}{45}+\frac{225}{45}+\frac{55}{45}\\=\frac{36+225+55}{45}\\=\frac{316}{45}\)