Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-11}{10}\right)+\left(\frac{12}{-5}\right)\\= \frac{11}{10}-\frac{12}{5}\\=\frac{11-12}{10}\\=\frac{-1}{10}\)
2. \(-\left(\frac{10}{-7}\right)+\left(\frac{9}{2}\right)\\= \frac{10}{7}+\frac{9}{2}\\=\frac{20}{14}+\frac{63}{14}\\=\frac{20+63}{14}\\=\frac{83}{14}\)
3. \(-\left(\frac{-8}{-9}\right)+\left(\frac{2}{-13}\right)\\= \frac{-8}{9}-\frac{2}{13}\\=\frac{-104}{117}-\frac{18}{117}\\=\frac{-104-18}{117}\\=\frac{-122}{117}\)
4. \(+\left(\frac{-10}{3}\right)-\left(\frac{2}{9}\right)\\= \frac{-10}{3}-\frac{2}{9}\\=\frac{-30}{9}-\frac{2}{9}\\=\frac{-30-2}{9}\\=\frac{-32}{9}\)
5. \(+\left(\frac{11}{-10}\right)-\left(\frac{-5}{3}\right)\\= \frac{-11}{10}+\frac{5}{3}\\=\frac{-33}{30}+\frac{50}{30}\\=\frac{-33+50}{30}\\=\frac{17}{30}\)
6. \(-\left(\frac{-11}{-2}\right)+\left(\frac{15}{-4}\right)\\= \frac{-11}{2}-\frac{15}{4}\\=\frac{-22}{4}-\frac{15}{4}\\=\frac{-22-15}{4}\\=\frac{-37}{4}\)
7. \(-\left(\frac{-2}{3}\right)-\left(\frac{-14}{9}\right)\\= \frac{2}{3}+\frac{14}{9}\\=\frac{6}{9}+\frac{14}{9}\\=\frac{6+14}{9}\\=\frac{20}{9}\)
8. \(+\left(\frac{15}{-8}\right)+\left(\frac{14}{-11}\right)\\= \frac{-15}{8}-\frac{14}{11}\\=\frac{-165}{88}-\frac{112}{88}\\=\frac{-165-112}{88}\\=\frac{-277}{88}\)
9. \(-\left(\frac{9}{-7}\right)-\left(\frac{11}{-12}\right)\\= \frac{9}{7}+\frac{11}{12}\\=\frac{108}{84}+\frac{77}{84}\\=\frac{108+77}{84}\\=\frac{185}{84}\)
10. \(+\left(\frac{-15}{7}\right)+\left(\frac{3}{4}\right)\\= \frac{-15}{7}+\frac{3}{4}\\=\frac{-60}{28}+\frac{21}{28}\\=\frac{-60+21}{28}\\=\frac{-39}{28}\)
11. \(+\left(\frac{4}{3}\right)-\left(\frac{-12}{-13}\right)\\= \frac{4}{3}-\frac{12}{13}\\=\frac{52}{39}-\frac{36}{39}\\=\frac{52-36}{39}\\=\frac{16}{39}\)
12. \(-\left(\frac{-4}{11}\right)+\left(\frac{-13}{-14}\right)\\= \frac{4}{11}+\frac{13}{14}\\=\frac{56}{154}+\frac{143}{154}\\=\frac{56+143}{154}\\=\frac{199}{154}\)