Breuken haakjesregel (reeks 2)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(-\left(\frac{-8}{-5}\right) -\left(\frac{7}{8}\right) +\left(\frac{-11}{-2}\right)\\= \frac{-8}{5}- \frac{7}{8}+\frac{11}{2}\\=\frac{-64}{40}-\frac{35}{40}+\frac{220}{40}\\=\frac{-64-35+220}{40}\\=\frac{121}{40}\)
2. \(-\left(\frac{-2}{-9}\right) -\left(\frac{9}{6}\right) +\left(\frac{-4}{9}\right)\\= \frac{-2}{9}- \frac{9}{6}-\frac{4}{9}\\=\frac{-2}{9}-\frac{3}{2}-\frac{4}{9}\\=\frac{-4}{18}-\frac{27}{18}-\frac{8}{18}\\=\frac{-4-27-8}{18}\\=\frac{-39}{18}\\=\frac{-13}{6}\)
3. \(+\left(\frac{-6}{5}\right) +\left(\frac{7}{7}\right) +\left(\frac{5}{-9}\right)\\= \frac{-6}{5}+ \frac{7}{7}-\frac{5}{9}\\=\frac{-6}{5}+\frac{1}{1}-\frac{5}{9}\\=\frac{-54}{45}+\frac{45}{45}-\frac{25}{45}\\=\frac{-54+45-25}{45}\\=\frac{-34}{45}\)
4. \(+\left(\frac{-3}{-2}\right) +\left(\frac{4}{-3}\right) -\left(\frac{5}{-2}\right)\\= \frac{3}{2}- \frac{4}{3}+\frac{5}{2}\\=\frac{9}{6}-\frac{8}{6}+\frac{15}{6}\\=\frac{9-8+15}{6}\\=\frac{16}{6}\\=\frac{8}{3}\)
5. \(-\left(\frac{-5}{3}\right) -\left(\frac{2}{-6}\right) -\left(\frac{-12}{6}\right)\\= \frac{5}{3}+ \frac{2}{6}+\frac{12}{6}\\=\frac{5}{3}+\frac{1}{3}+\frac{2}{1}\\=\frac{5+1+2}{3}\\=\frac{8}{3}\)
6. \(-\left(\frac{8}{-7}\right) -\left(\frac{8}{-2}\right) +\left(\frac{11}{5}\right)\\= \frac{8}{7}+ \frac{8}{2}+\frac{11}{5}\\=\frac{8}{7}+\frac{4}{1}+\frac{11}{5}\\=\frac{40}{35}+\frac{140}{35}+\frac{77}{35}\\=\frac{40+140+77}{35}\\=\frac{257}{35}\)
7. \(+\left(\frac{9}{-7}\right) +\left(\frac{-9}{6}\right) +\left(\frac{-11}{-5}\right)\\= \frac{-9}{7}- \frac{9}{6}+\frac{11}{5}\\=\frac{-9}{7}-\frac{3}{2}+\frac{11}{5}\\=\frac{-90}{70}-\frac{105}{70}+\frac{154}{70}\\=\frac{-90-105+154}{70}\\=\frac{-41}{70}\)
8. \(-\left(\frac{10}{7}\right) +\left(\frac{7}{9}\right) -\left(\frac{11}{-8}\right)\\= \frac{-10}{7}+ \frac{7}{9}+\frac{11}{8}\\=\frac{-720}{504}+\frac{392}{504}+\frac{693}{504}\\=\frac{-720+392+693}{504}\\=\frac{365}{504}\)
9. \(-\left(\frac{-8}{9}\right) +\left(\frac{-6}{-9}\right) +\left(\frac{-11}{-6}\right)\\= \frac{8}{9}+ \frac{6}{9}+\frac{11}{6}\\=\frac{8}{9}+\frac{2}{3}+\frac{11}{6}\\=\frac{16}{18}+\frac{12}{18}+\frac{33}{18}\\=\frac{16+12+33}{18}\\=\frac{61}{18}\)
10. \(+\left(\frac{7}{8}\right) +\left(\frac{-10}{-7}\right) -\left(\frac{-6}{10}\right)\\= \frac{7}{8}+ \frac{10}{7}+\frac{6}{10}\\=\frac{7}{8}+\frac{10}{7}+\frac{3}{5}\\=\frac{245}{280}+\frac{400}{280}+\frac{168}{280}\\=\frac{245+400+168}{280}\\=\frac{813}{280}\)
11. \(-\left(\frac{6}{-5}\right) -\left(\frac{-8}{-5}\right) -\left(\frac{10}{-8}\right)\\= \frac{6}{5}- \frac{8}{5}+\frac{10}{8}\\=\frac{6}{5}-\frac{8}{5}+\frac{5}{4}\\=\frac{24}{20}-\frac{32}{20}+\frac{25}{20}\\=\frac{24-32+25}{20}\\=\frac{17}{20}\)
12. \(-\left(\frac{7}{9}\right) -\left(\frac{-10}{2}\right) +\left(\frac{-11}{7}\right)\\= \frac{-7}{9}+ \frac{10}{2}-\frac{11}{7}\\=\frac{-7}{9}+\frac{5}{1}-\frac{11}{7}\\=\frac{-49}{63}+\frac{315}{63}-\frac{99}{63}\\=\frac{-49+315-99}{63}\\=\frac{167}{63}\)