Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{13}{12}\right)-\left(\frac{-2}{3}\right)\\= \frac{13}{12}+\frac{2}{3}\\=\frac{13+2}{12}\\=\frac{15}{12}\\=\frac{5}{4}\)
2. \(-\left(\frac{-5}{11}\right)+\left(\frac{-7}{-3}\right)\\= \frac{5}{11}+\frac{7}{3}\\=\frac{15}{33}+\frac{77}{33}\\=\frac{15+77}{33}\\=\frac{92}{33}\)
3. \(-\left(\frac{14}{-3}\right)+\left(\frac{-7}{8}\right)\\= \frac{14}{3}-\frac{7}{8}\\=\frac{112}{24}-\frac{21}{24}\\=\frac{112-21}{24}\\=\frac{91}{24}\)
4. \(-\left(\frac{13}{-10}\right)-\left(\frac{-4}{-11}\right)\\= \frac{13}{10}-\frac{4}{11}\\=\frac{143}{110}-\frac{40}{110}\\=\frac{143-40}{110}\\=\frac{103}{110}\)
5. \(-\left(\frac{-14}{13}\right)-\left(\frac{-3}{13}\right)\\= \frac{14}{13}+\frac{3}{13}\\=\frac{14+3}{13}\\=\frac{17}{13}\)
6. \(+\left(\frac{10}{-3}\right)+\left(\frac{12}{5}\right)\\= \frac{-10}{3}+\frac{12}{5}\\=\frac{-50}{15}+\frac{36}{15}\\=\frac{-50+36}{15}\\=\frac{-14}{15}\)
7. \(-\left(\frac{-4}{3}\right)+\left(\frac{3}{10}\right)\\= \frac{4}{3}+\frac{3}{10}\\=\frac{40}{30}+\frac{9}{30}\\=\frac{40+9}{30}\\=\frac{49}{30}\)
8. \(-\left(\frac{13}{14}\right)-\left(\frac{-9}{11}\right)\\= \frac{-13}{14}+\frac{9}{11}\\=\frac{-143}{154}+\frac{126}{154}\\=\frac{-143+126}{154}\\=\frac{-17}{154}\)
9. \(-\left(\frac{-14}{-9}\right)+\left(\frac{10}{11}\right)\\= \frac{-14}{9}+\frac{10}{11}\\=\frac{-154}{99}+\frac{90}{99}\\=\frac{-154+90}{99}\\=\frac{-64}{99}\)
10. \(+\left(\frac{-8}{3}\right)-\left(\frac{-15}{7}\right)\\= \frac{-8}{3}+\frac{15}{7}\\=\frac{-56}{21}+\frac{45}{21}\\=\frac{-56+45}{21}\\=\frac{-11}{21}\)
11. \(+\left(\frac{-3}{4}\right)-\left(\frac{7}{-13}\right)\\= \frac{-3}{4}+\frac{7}{13}\\=\frac{-39}{52}+\frac{28}{52}\\=\frac{-39+28}{52}\\=\frac{-11}{52}\)
12. \(-\left(\frac{13}{5}\right)+\left(\frac{11}{-3}\right)\\= \frac{-13}{5}-\frac{11}{3}\\=\frac{-39}{15}-\frac{55}{15}\\=\frac{-39-55}{15}\\=\frac{-94}{15}\)