Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

1. \(-\left(\frac{-6}{13}\right)+\left(\frac{-10}{-3}\right)\)
2. \(+\left(\frac{8}{-9}\right)-\left(\frac{-4}{7}\right)\)
3. \(+\left(\frac{13}{12}\right)-\left(\frac{-12}{5}\right)\)
4. \(-\left(\frac{-3}{-11}\right)-\left(\frac{6}{-5}\right)\)
5. \(+\left(\frac{-15}{7}\right)-\left(\frac{14}{5}\right)\)
6. \(+\left(\frac{-10}{9}\right)+\left(\frac{5}{13}\right)\)
7. \(+\left(\frac{-15}{-4}\right)-\left(\frac{6}{11}\right)\)
8. \(+\left(\frac{7}{-8}\right)+\left(\frac{-3}{-7}\right)\)
9. \(+\left(\frac{-15}{11}\right)-\left(\frac{-12}{-7}\right)\)
10. \(+\left(\frac{-15}{11}\right)-\left(\frac{-8}{-11}\right)\)
11. \(-\left(\frac{13}{5}\right)-\left(\frac{-4}{3}\right)\)
12. \(+\left(\frac{-3}{-14}\right)+\left(\frac{8}{5}\right)\)

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Bereken

Verbetersleutel

1. \(-\left(\frac{-6}{13}\right)+\left(\frac{-10}{-3}\right)\\= \frac{6}{13}+\frac{10}{3}\\=\frac{18}{39}+\frac{130}{39}\\=\frac{18+130}{39}\\=\frac{148}{39}\)
2. \(+\left(\frac{8}{-9}\right)-\left(\frac{-4}{7}\right)\\= \frac{-8}{9}+\frac{4}{7}\\=\frac{-56}{63}+\frac{36}{63}\\=\frac{-56+36}{63}\\=\frac{-20}{63}\)
3. \(+\left(\frac{13}{12}\right)-\left(\frac{-12}{5}\right)\\= \frac{13}{12}+\frac{12}{5}\\=\frac{65}{60}+\frac{144}{60}\\=\frac{65+144}{60}\\=\frac{209}{60}\)
4. \(-\left(\frac{-3}{-11}\right)-\left(\frac{6}{-5}\right)\\= \frac{-3}{11}+\frac{6}{5}\\=\frac{-15}{55}+\frac{66}{55}\\=\frac{-15+66}{55}\\=\frac{51}{55}\)
5. \(+\left(\frac{-15}{7}\right)-\left(\frac{14}{5}\right)\\= \frac{-15}{7}-\frac{14}{5}\\=\frac{-75}{35}-\frac{98}{35}\\=\frac{-75-98}{35}\\=\frac{-173}{35}\)
6. \(+\left(\frac{-10}{9}\right)+\left(\frac{5}{13}\right)\\= \frac{-10}{9}+\frac{5}{13}\\=\frac{-130}{117}+\frac{45}{117}\\=\frac{-130+45}{117}\\=\frac{-85}{117}\)
7. \(+\left(\frac{-15}{-4}\right)-\left(\frac{6}{11}\right)\\= \frac{15}{4}-\frac{6}{11}\\=\frac{165}{44}-\frac{24}{44}\\=\frac{165-24}{44}\\=\frac{141}{44}\)
8. \(+\left(\frac{7}{-8}\right)+\left(\frac{-3}{-7}\right)\\= \frac{-7}{8}+\frac{3}{7}\\=\frac{-49}{56}+\frac{24}{56}\\=\frac{-49+24}{56}\\=\frac{-25}{56}\)
9. \(+\left(\frac{-15}{11}\right)-\left(\frac{-12}{-7}\right)\\= \frac{-15}{11}-\frac{12}{7}\\=\frac{-105}{77}-\frac{132}{77}\\=\frac{-105-132}{77}\\=\frac{-237}{77}\)
10. \(+\left(\frac{-15}{11}\right)-\left(\frac{-8}{-11}\right)\\= \frac{-15}{11}-\frac{8}{11}\\=\frac{-15-8}{11}\\=\frac{-23}{11}\)
11. \(-\left(\frac{13}{5}\right)-\left(\frac{-4}{3}\right)\\= \frac{-13}{5}+\frac{4}{3}\\=\frac{-39}{15}+\frac{20}{15}\\=\frac{-39+20}{15}\\=\frac{-19}{15}\)
12. \(+\left(\frac{-3}{-14}\right)+\left(\frac{8}{5}\right)\\= \frac{3}{14}+\frac{8}{5}\\=\frac{15}{70}+\frac{112}{70}\\=\frac{15+112}{70}\\=\frac{127}{70}\)