Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{15}{-13}\right)-\left(\frac{-11}{-13}\right)\\= \frac{15}{13}-\frac{11}{13}\\=\frac{15-11}{13}\\=\frac{4}{13}\)
2. \(+\left(\frac{10}{7}\right)+\left(\frac{9}{5}\right)\\= \frac{10}{7}+\frac{9}{5}\\=\frac{50}{35}+\frac{63}{35}\\=\frac{50+63}{35}\\=\frac{113}{35}\)
3. \(-\left(\frac{-5}{12}\right)+\left(\frac{13}{8}\right)\\= \frac{5}{12}+\frac{13}{8}\\=\frac{10}{24}+\frac{39}{24}\\=\frac{10+39}{24}\\=\frac{49}{24}\)
4. \(+\left(\frac{3}{-7}\right)+\left(\frac{-6}{-11}\right)\\= \frac{-3}{7}+\frac{6}{11}\\=\frac{-33}{77}+\frac{42}{77}\\=\frac{-33+42}{77}\\=\frac{9}{77}\)
5. \(-\left(\frac{13}{12}\right)+\left(\frac{12}{-13}\right)\\= \frac{-13}{12}-\frac{12}{13}\\=\frac{-169}{156}-\frac{144}{156}\\=\frac{-169-144}{156}\\=\frac{-313}{156}\)
6. \(-\left(\frac{-11}{6}\right)-\left(\frac{11}{-7}\right)\\= \frac{11}{6}+\frac{11}{7}\\=\frac{77}{42}+\frac{66}{42}\\=\frac{77+66}{42}\\=\frac{143}{42}\)
7. \(-\left(\frac{4}{-11}\right)+\left(\frac{-7}{-9}\right)\\= \frac{4}{11}+\frac{7}{9}\\=\frac{36}{99}+\frac{77}{99}\\=\frac{36+77}{99}\\=\frac{113}{99}\)
8. \(+\left(\frac{15}{-14}\right)+\left(\frac{12}{-13}\right)\\= \frac{-15}{14}-\frac{12}{13}\\=\frac{-195}{182}-\frac{168}{182}\\=\frac{-195-168}{182}\\=\frac{-363}{182}\)
9. \(+\left(\frac{12}{-5}\right)-\left(\frac{-4}{15}\right)\\= \frac{-12}{5}+\frac{4}{15}\\=\frac{-36}{15}+\frac{4}{15}\\=\frac{-36+4}{15}\\=\frac{-32}{15}\)
10. \(+\left(\frac{-5}{13}\right)-\left(\frac{14}{3}\right)\\= \frac{-5}{13}-\frac{14}{3}\\=\frac{-15}{39}-\frac{182}{39}\\=\frac{-15-182}{39}\\=\frac{-197}{39}\)
11. \(+\left(\frac{-15}{2}\right)-\left(\frac{-13}{-11}\right)\\= \frac{-15}{2}-\frac{13}{11}\\=\frac{-165}{22}-\frac{26}{22}\\=\frac{-165-26}{22}\\=\frac{-191}{22}\)
12. \(-\left(\frac{-8}{-13}\right)-\left(\frac{-10}{-9}\right)\\= \frac{-8}{13}-\frac{10}{9}\\=\frac{-72}{117}-\frac{130}{117}\\=\frac{-72-130}{117}\\=\frac{-202}{117}\)