Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{12}{7}\right)+\left(\frac{15}{7}\right)\\= \frac{12}{7}+\frac{15}{7}\\=\frac{12+15}{7}\\=\frac{27}{7}\)
2. \(-\left(\frac{-9}{-2}\right)+\left(\frac{-5}{4}\right)\\= \frac{-9}{2}-\frac{5}{4}\\=\frac{-18}{4}-\frac{5}{4}\\=\frac{-18-5}{4}\\=\frac{-23}{4}\)
3. \(+\left(\frac{4}{-13}\right)+\left(\frac{8}{-3}\right)\\= \frac{-4}{13}-\frac{8}{3}\\=\frac{-12}{39}-\frac{104}{39}\\=\frac{-12-104}{39}\\=\frac{-116}{39}\)
4. \(-\left(\frac{11}{-2}\right)+\left(\frac{3}{7}\right)\\= \frac{11}{2}+\frac{3}{7}\\=\frac{77}{14}+\frac{6}{14}\\=\frac{77+6}{14}\\=\frac{83}{14}\)
5. \(+\left(\frac{-5}{7}\right)-\left(\frac{-10}{9}\right)\\= \frac{-5}{7}+\frac{10}{9}\\=\frac{-45}{63}+\frac{70}{63}\\=\frac{-45+70}{63}\\=\frac{25}{63}\)
6. \(+\left(\frac{7}{11}\right)-\left(\frac{-4}{9}\right)\\= \frac{7}{11}+\frac{4}{9}\\=\frac{63}{99}+\frac{44}{99}\\=\frac{63+44}{99}\\=\frac{107}{99}\)
7. \(-\left(\frac{11}{-5}\right)-\left(\frac{-6}{-5}\right)\\= \frac{11}{5}-\frac{6}{5}\\=\frac{11-6}{5}\\=\frac{5}{5}\\=\frac{1}{1}\)
8. \(-\left(\frac{-3}{-13}\right)+\left(\frac{-7}{8}\right)\\= \frac{-3}{13}-\frac{7}{8}\\=\frac{-24}{104}-\frac{91}{104}\\=\frac{-24-91}{104}\\=\frac{-115}{104}\)
9. \(+\left(\frac{11}{13}\right)-\left(\frac{12}{-5}\right)\\= \frac{11}{13}+\frac{12}{5}\\=\frac{55}{65}+\frac{156}{65}\\=\frac{55+156}{65}\\=\frac{211}{65}\)
10. \(-\left(\frac{-8}{5}\right)+\left(\frac{3}{4}\right)\\= \frac{8}{5}+\frac{3}{4}\\=\frac{32}{20}+\frac{15}{20}\\=\frac{32+15}{20}\\=\frac{47}{20}\)
11. \(+\left(\frac{11}{-14}\right)-\left(\frac{-13}{-8}\right)\\= \frac{-11}{14}-\frac{13}{8}\\=\frac{-44}{56}-\frac{91}{56}\\=\frac{-44-91}{56}\\=\frac{-135}{56}\)
12. \(+\left(\frac{-4}{-3}\right)+\left(\frac{-12}{-5}\right)\\= \frac{4}{3}+\frac{12}{5}\\=\frac{20}{15}+\frac{36}{15}\\=\frac{20+36}{15}\\=\frac{56}{15}\)