Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-14}{-3}\right)-\left(\frac{15}{-11}\right)\\= \frac{14}{3}+\frac{15}{11}\\=\frac{154}{33}+\frac{45}{33}\\=\frac{154+45}{33}\\=\frac{199}{33}\)
2. \(+\left(\frac{14}{3}\right)+\left(\frac{2}{-5}\right)\\= \frac{14}{3}-\frac{2}{5}\\=\frac{70}{15}-\frac{6}{15}\\=\frac{70-6}{15}\\=\frac{64}{15}\)
3. \(-\left(\frac{9}{-7}\right)-\left(\frac{-11}{-2}\right)\\= \frac{9}{7}-\frac{11}{2}\\=\frac{18}{14}-\frac{77}{14}\\=\frac{18-77}{14}\\=\frac{-59}{14}\)
4. \(+\left(\frac{13}{6}\right)-\left(\frac{6}{13}\right)\\= \frac{13}{6}-\frac{6}{13}\\=\frac{169}{78}-\frac{36}{78}\\=\frac{169-36}{78}\\=\frac{133}{78}\)
5. \(+\left(\frac{-3}{-7}\right)-\left(\frac{14}{3}\right)\\= \frac{3}{7}-\frac{14}{3}\\=\frac{9}{21}-\frac{98}{21}\\=\frac{9-98}{21}\\=\frac{-89}{21}\)
6. \(+\left(\frac{12}{11}\right)-\left(\frac{-15}{7}\right)\\= \frac{12}{11}+\frac{15}{7}\\=\frac{84}{77}+\frac{165}{77}\\=\frac{84+165}{77}\\=\frac{249}{77}\)
7. \(+\left(\frac{-6}{-5}\right)-\left(\frac{3}{-10}\right)\\= \frac{6}{5}+\frac{3}{10}\\=\frac{12}{10}+\frac{3}{10}\\=\frac{12+3}{10}\\=\frac{15}{10}\\=\frac{3}{2}\)
8. \(+\left(\frac{-8}{-7}\right)-\left(\frac{10}{-7}\right)\\= \frac{8}{7}+\frac{10}{7}\\=\frac{8+10}{7}\\=\frac{18}{7}\)
9. \(+\left(\frac{6}{5}\right)+\left(\frac{-2}{-7}\right)\\= \frac{6}{5}+\frac{2}{7}\\=\frac{42}{35}+\frac{10}{35}\\=\frac{42+10}{35}\\=\frac{52}{35}\)
10. \(-\left(\frac{10}{7}\right)+\left(\frac{-7}{-9}\right)\\= \frac{-10}{7}+\frac{7}{9}\\=\frac{-90}{63}+\frac{49}{63}\\=\frac{-90+49}{63}\\=\frac{-41}{63}\)
11. \(+\left(\frac{-11}{-6}\right)+\left(\frac{-9}{-2}\right)\\= \frac{11}{6}+\frac{9}{2}\\=\frac{11+9}{6}\\=\frac{20}{6}\\=\frac{10}{3}\)
12. \(+\left(\frac{4}{-13}\right)-\left(\frac{10}{-3}\right)\\= \frac{-4}{13}+\frac{10}{3}\\=\frac{-12}{39}+\frac{130}{39}\\=\frac{-12+130}{39}\\=\frac{118}{39}\)