Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{13}{3}\right)-\left(\frac{15}{-7}\right)\\= \frac{13}{3}+\frac{15}{7}\\=\frac{91}{21}+\frac{45}{21}\\=\frac{91+45}{21}\\=\frac{136}{21}\)
2. \(-\left(\frac{-2}{-9}\right)+\left(\frac{14}{3}\right)\\= \frac{-2}{9}+\frac{14}{3}\\=\frac{-2+14}{9}\\=\frac{12}{9}\\=\frac{4}{3}\)
3. \(-\left(\frac{12}{13}\right)-\left(\frac{-14}{-9}\right)\\= \frac{-12}{13}-\frac{14}{9}\\=\frac{-108}{117}-\frac{182}{117}\\=\frac{-108-182}{117}\\=\frac{-290}{117}\)
4. \(-\left(\frac{14}{9}\right)-\left(\frac{13}{14}\right)\\= \frac{-14}{9}-\frac{13}{14}\\=\frac{-196}{126}-\frac{117}{126}\\=\frac{-196-117}{126}\\=\frac{-313}{126}\)
5. \(+\left(\frac{14}{-9}\right)-\left(\frac{-4}{-13}\right)\\= \frac{-14}{9}-\frac{4}{13}\\=\frac{-182}{117}-\frac{36}{117}\\=\frac{-182-36}{117}\\=\frac{-218}{117}\)
6. \(+\left(\frac{7}{2}\right)+\left(\frac{-4}{7}\right)\\= \frac{7}{2}-\frac{4}{7}\\=\frac{49}{14}-\frac{8}{14}\\=\frac{49-8}{14}\\=\frac{41}{14}\)
7. \(-\left(\frac{-13}{14}\right)-\left(\frac{-9}{10}\right)\\= \frac{13}{14}+\frac{9}{10}\\=\frac{65}{70}+\frac{63}{70}\\=\frac{65+63}{70}\\=\frac{128}{70}\\=\frac{64}{35}\)
8. \(-\left(\frac{-6}{-5}\right)+\left(\frac{-9}{-4}\right)\\= \frac{-6}{5}+\frac{9}{4}\\=\frac{-24}{20}+\frac{45}{20}\\=\frac{-24+45}{20}\\=\frac{21}{20}\)
9. \(+\left(\frac{15}{13}\right)-\left(\frac{12}{13}\right)\\= \frac{15}{13}-\frac{12}{13}\\=\frac{15-12}{13}\\=\frac{3}{13}\)
10. \(-\left(\frac{9}{-5}\right)+\left(\frac{-13}{-14}\right)\\= \frac{9}{5}+\frac{13}{14}\\=\frac{126}{70}+\frac{65}{70}\\=\frac{126+65}{70}\\=\frac{191}{70}\)
11. \(+\left(\frac{-14}{3}\right)+\left(\frac{10}{3}\right)\\= \frac{-14}{3}+\frac{10}{3}\\=\frac{-14+10}{3}\\=\frac{-4}{3}\)
12. \(+\left(\frac{4}{-7}\right)-\left(\frac{6}{-7}\right)\\= \frac{-4}{7}+\frac{6}{7}\\=\frac{-4+6}{7}\\=\frac{2}{7}\)