Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{5}{2}\right)-\left(\frac{-14}{3}\right)\\= \frac{-5}{2}+\frac{14}{3}\\=\frac{-15}{6}+\frac{28}{6}\\=\frac{-15+28}{6}\\=\frac{13}{6}\)
2. \(+\left(\frac{-2}{-3}\right)-\left(\frac{-15}{4}\right)\\= \frac{2}{3}+\frac{15}{4}\\=\frac{8}{12}+\frac{45}{12}\\=\frac{8+45}{12}\\=\frac{53}{12}\)
3. \(-\left(\frac{8}{-9}\right)-\left(\frac{15}{-7}\right)\\= \frac{8}{9}+\frac{15}{7}\\=\frac{56}{63}+\frac{135}{63}\\=\frac{56+135}{63}\\=\frac{191}{63}\)
4. \(+\left(\frac{14}{3}\right)+\left(\frac{8}{11}\right)\\= \frac{14}{3}+\frac{8}{11}\\=\frac{154}{33}+\frac{24}{33}\\=\frac{154+24}{33}\\=\frac{178}{33}\)
5. \(-\left(\frac{3}{2}\right)-\left(\frac{-14}{3}\right)\\= \frac{-3}{2}+\frac{14}{3}\\=\frac{-9}{6}+\frac{28}{6}\\=\frac{-9+28}{6}\\=\frac{19}{6}\)
6. \(+\left(\frac{-11}{-3}\right)-\left(\frac{12}{-5}\right)\\= \frac{11}{3}+\frac{12}{5}\\=\frac{55}{15}+\frac{36}{15}\\=\frac{55+36}{15}\\=\frac{91}{15}\)
7. \(+\left(\frac{6}{11}\right)+\left(\frac{11}{2}\right)\\= \frac{6}{11}+\frac{11}{2}\\=\frac{12}{22}+\frac{121}{22}\\=\frac{12+121}{22}\\=\frac{133}{22}\)
8. \(-\left(\frac{-7}{-8}\right)-\left(\frac{2}{-7}\right)\\= \frac{-7}{8}+\frac{2}{7}\\=\frac{-49}{56}+\frac{16}{56}\\=\frac{-49+16}{56}\\=\frac{-33}{56}\)
9. \(+\left(\frac{-13}{-12}\right)-\left(\frac{-15}{7}\right)\\= \frac{13}{12}+\frac{15}{7}\\=\frac{91}{84}+\frac{180}{84}\\=\frac{91+180}{84}\\=\frac{271}{84}\)
10. \(+\left(\frac{11}{-14}\right)-\left(\frac{-11}{12}\right)\\= \frac{-11}{14}+\frac{11}{12}\\=\frac{-66}{84}+\frac{77}{84}\\=\frac{-66+77}{84}\\=\frac{11}{84}\)
11. \(+\left(\frac{11}{-14}\right)-\left(\frac{-10}{-7}\right)\\= \frac{-11}{14}-\frac{10}{7}\\=\frac{-11-10}{14}\\=\frac{-21}{14}\\=\frac{-3}{2}\)
12. \(+\left(\frac{-2}{-3}\right)-\left(\frac{-6}{-11}\right)\\= \frac{2}{3}-\frac{6}{11}\\=\frac{22}{33}-\frac{18}{33}\\=\frac{22-18}{33}\\=\frac{4}{33}\)