Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{8}{-7}\right)+\left(\frac{-11}{12}\right)\\= \frac{-8}{7}-\frac{11}{12}\\=\frac{-96}{84}-\frac{77}{84}\\=\frac{-96-77}{84}\\=\frac{-173}{84}\)
2. \(+\left(\frac{-8}{13}\right)-\left(\frac{2}{-9}\right)\\= \frac{-8}{13}+\frac{2}{9}\\=\frac{-72}{117}+\frac{26}{117}\\=\frac{-72+26}{117}\\=\frac{-46}{117}\)
3. \(+\left(\frac{-15}{14}\right)-\left(\frac{-7}{-8}\right)\\= \frac{-15}{14}-\frac{7}{8}\\=\frac{-60}{56}-\frac{49}{56}\\=\frac{-60-49}{56}\\=\frac{-109}{56}\)
4. \(+\left(\frac{-14}{-9}\right)-\left(\frac{10}{3}\right)\\= \frac{14}{9}-\frac{10}{3}\\=\frac{14-10}{9}\\=\frac{4}{9}\)
5. \(-\left(\frac{9}{-4}\right)-\left(\frac{-11}{3}\right)\\= \frac{9}{4}+\frac{11}{3}\\=\frac{27}{12}+\frac{44}{12}\\=\frac{27+44}{12}\\=\frac{71}{12}\)
6. \(+\left(\frac{13}{-2}\right)-\left(\frac{15}{-13}\right)\\= \frac{-13}{2}+\frac{15}{13}\\=\frac{-169}{26}+\frac{30}{26}\\=\frac{-169+30}{26}\\=\frac{-139}{26}\)
7. \(+\left(\frac{5}{2}\right)+\left(\frac{12}{11}\right)\\= \frac{5}{2}+\frac{12}{11}\\=\frac{55}{22}+\frac{24}{22}\\=\frac{55+24}{22}\\=\frac{79}{22}\)
8. \(+\left(\frac{-14}{3}\right)-\left(\frac{-7}{-5}\right)\\= \frac{-14}{3}-\frac{7}{5}\\=\frac{-70}{15}-\frac{21}{15}\\=\frac{-70-21}{15}\\=\frac{-91}{15}\)
9. \(+\left(\frac{12}{-11}\right)+\left(\frac{-15}{-7}\right)\\= \frac{-12}{11}+\frac{15}{7}\\=\frac{-84}{77}+\frac{165}{77}\\=\frac{-84+165}{77}\\=\frac{81}{77}\)
10. \(+\left(\frac{-11}{8}\right)+\left(\frac{-2}{5}\right)\\= \frac{-11}{8}-\frac{2}{5}\\=\frac{-55}{40}-\frac{16}{40}\\=\frac{-55-16}{40}\\=\frac{-71}{40}\)
11. \(+\left(\frac{11}{-2}\right)+\left(\frac{-15}{-14}\right)\\= \frac{-11}{2}+\frac{15}{14}\\=\frac{-77}{14}+\frac{15}{14}\\=\frac{-77+15}{14}\\=\frac{-62}{14}\\=\frac{-31}{7}\)
12. \(-\left(\frac{-11}{13}\right)+\left(\frac{-6}{11}\right)\\= \frac{11}{13}-\frac{6}{11}\\=\frac{121}{143}-\frac{78}{143}\\=\frac{121-78}{143}\\=\frac{43}{143}\)