Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{8}{-13}\right)-\left(\frac{-9}{-7}\right)\\= \frac{-8}{13}-\frac{9}{7}\\=\frac{-56}{91}-\frac{117}{91}\\=\frac{-56-117}{91}\\=\frac{-173}{91}\)
2. \(-\left(\frac{-10}{7}\right)-\left(\frac{12}{-5}\right)\\= \frac{10}{7}+\frac{12}{5}\\=\frac{50}{35}+\frac{84}{35}\\=\frac{50+84}{35}\\=\frac{134}{35}\)
3. \(-\left(\frac{14}{-3}\right)+\left(\frac{-9}{2}\right)\\= \frac{14}{3}-\frac{9}{2}\\=\frac{28}{6}-\frac{27}{6}\\=\frac{28-27}{6}\\=\frac{1}{6}\)
4. \(+\left(\frac{9}{10}\right)+\left(\frac{3}{7}\right)\\= \frac{9}{10}+\frac{3}{7}\\=\frac{63}{70}+\frac{30}{70}\\=\frac{63+30}{70}\\=\frac{93}{70}\)
5. \(-\left(\frac{-7}{-5}\right)-\left(\frac{6}{-7}\right)\\= \frac{-7}{5}+\frac{6}{7}\\=\frac{-49}{35}+\frac{30}{35}\\=\frac{-49+30}{35}\\=\frac{-19}{35}\)
6. \(+\left(\frac{5}{-9}\right)-\left(\frac{8}{-9}\right)\\= \frac{-5}{9}+\frac{8}{9}\\=\frac{-5+8}{9}\\=\frac{3}{9}\\=\frac{1}{3}\)
7. \(+\left(\frac{14}{-3}\right)+\left(\frac{-2}{5}\right)\\= \frac{-14}{3}-\frac{2}{5}\\=\frac{-70}{15}-\frac{6}{15}\\=\frac{-70-6}{15}\\=\frac{-76}{15}\)
8. \(-\left(\frac{-8}{5}\right)-\left(\frac{-5}{11}\right)\\= \frac{8}{5}+\frac{5}{11}\\=\frac{88}{55}+\frac{25}{55}\\=\frac{88+25}{55}\\=\frac{113}{55}\)
9. \(+\left(\frac{-14}{-5}\right)-\left(\frac{14}{3}\right)\\= \frac{14}{5}-\frac{14}{3}\\=\frac{42}{15}-\frac{70}{15}\\=\frac{42-70}{15}\\=\frac{-28}{15}\)
10. \(+\left(\frac{2}{-13}\right)-\left(\frac{6}{-5}\right)\\= \frac{-2}{13}+\frac{6}{5}\\=\frac{-10}{65}+\frac{78}{65}\\=\frac{-10+78}{65}\\=\frac{68}{65}\)
11. \(-\left(\frac{-7}{13}\right)+\left(\frac{14}{-11}\right)\\= \frac{7}{13}-\frac{14}{11}\\=\frac{77}{143}-\frac{182}{143}\\=\frac{77-182}{143}\\=\frac{-105}{143}\)
12. \(-\left(\frac{10}{3}\right)-\left(\frac{-12}{-5}\right)\\= \frac{-10}{3}-\frac{12}{5}\\=\frac{-50}{15}-\frac{36}{15}\\=\frac{-50-36}{15}\\=\frac{-86}{15}\)