Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-11}{2}\right)+\left(\frac{-3}{-4}\right)\\= \frac{11}{2}+\frac{3}{4}\\=\frac{22}{4}+\frac{3}{4}\\=\frac{22+3}{4}\\=\frac{25}{4}\)
2. \(+\left(\frac{-8}{-3}\right)+\left(\frac{-3}{-7}\right)\\= \frac{8}{3}+\frac{3}{7}\\=\frac{56}{21}+\frac{9}{21}\\=\frac{56+9}{21}\\=\frac{65}{21}\)
3. \(+\left(\frac{7}{6}\right)-\left(\frac{6}{13}\right)\\= \frac{7}{6}-\frac{6}{13}\\=\frac{91}{78}-\frac{36}{78}\\=\frac{91-36}{78}\\=\frac{55}{78}\)
4. \(-\left(\frac{2}{-3}\right)-\left(\frac{-5}{-11}\right)\\= \frac{2}{3}-\frac{5}{11}\\=\frac{22}{33}-\frac{15}{33}\\=\frac{22-15}{33}\\=\frac{7}{33}\)
5. \(-\left(\frac{-9}{-14}\right)+\left(\frac{-13}{-9}\right)\\= \frac{-9}{14}+\frac{13}{9}\\=\frac{-81}{126}+\frac{182}{126}\\=\frac{-81+182}{126}\\=\frac{101}{126}\)
6. \(+\left(\frac{-9}{-13}\right)-\left(\frac{-3}{8}\right)\\= \frac{9}{13}+\frac{3}{8}\\=\frac{72}{104}+\frac{39}{104}\\=\frac{72+39}{104}\\=\frac{111}{104}\)
7. \(-\left(\frac{11}{-14}\right)+\left(\frac{10}{13}\right)\\= \frac{11}{14}+\frac{10}{13}\\=\frac{143}{182}+\frac{140}{182}\\=\frac{143+140}{182}\\=\frac{283}{182}\)
8. \(+\left(\frac{-6}{7}\right)-\left(\frac{12}{-13}\right)\\= \frac{-6}{7}+\frac{12}{13}\\=\frac{-78}{91}+\frac{84}{91}\\=\frac{-78+84}{91}\\=\frac{6}{91}\)
9. \(-\left(\frac{6}{-11}\right)-\left(\frac{12}{-11}\right)\\= \frac{6}{11}+\frac{12}{11}\\=\frac{6+12}{11}\\=\frac{18}{11}\)
10. \(+\left(\frac{-5}{2}\right)-\left(\frac{8}{3}\right)\\= \frac{-5}{2}-\frac{8}{3}\\=\frac{-15}{6}-\frac{16}{6}\\=\frac{-15-16}{6}\\=\frac{-31}{6}\)
11. \(+\left(\frac{9}{-11}\right)-\left(\frac{9}{10}\right)\\= \frac{-9}{11}-\frac{9}{10}\\=\frac{-90}{110}-\frac{99}{110}\\=\frac{-90-99}{110}\\=\frac{-189}{110}\)
12. \(-\left(\frac{10}{-7}\right)+\left(\frac{9}{-5}\right)\\= \frac{10}{7}-\frac{9}{5}\\=\frac{50}{35}-\frac{63}{35}\\=\frac{50-63}{35}\\=\frac{-13}{35}\)