Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{6}{-13}\right)-\left(\frac{-15}{-7}\right)\\= \frac{6}{13}-\frac{15}{7}\\=\frac{42}{91}-\frac{195}{91}\\=\frac{42-195}{91}\\=\frac{-153}{91}\)
2. \(-\left(\frac{-15}{-2}\right)+\left(\frac{-15}{-4}\right)\\= \frac{-15}{2}+\frac{15}{4}\\=\frac{-30}{4}+\frac{15}{4}\\=\frac{-30+15}{4}\\=\frac{-15}{4}\)
3. \(+\left(\frac{-6}{-11}\right)+\left(\frac{-15}{-7}\right)\\= \frac{6}{11}+\frac{15}{7}\\=\frac{42}{77}+\frac{165}{77}\\=\frac{42+165}{77}\\=\frac{207}{77}\)
4. \(+\left(\frac{13}{-3}\right)-\left(\frac{12}{7}\right)\\= \frac{-13}{3}-\frac{12}{7}\\=\frac{-91}{21}-\frac{36}{21}\\=\frac{-91-36}{21}\\=\frac{-127}{21}\)
5. \(+\left(\frac{9}{11}\right)+\left(\frac{-10}{7}\right)\\= \frac{9}{11}-\frac{10}{7}\\=\frac{63}{77}-\frac{110}{77}\\=\frac{63-110}{77}\\=\frac{-47}{77}\)
6. \(+\left(\frac{-2}{5}\right)+\left(\frac{9}{5}\right)\\= \frac{-2}{5}+\frac{9}{5}\\=\frac{-2+9}{5}\\=\frac{7}{5}\)
7. \(-\left(\frac{-13}{8}\right)-\left(\frac{7}{-9}\right)\\= \frac{13}{8}+\frac{7}{9}\\=\frac{117}{72}+\frac{56}{72}\\=\frac{117+56}{72}\\=\frac{173}{72}\)
8. \(-\left(\frac{10}{7}\right)-\left(\frac{-8}{-7}\right)\\= \frac{-10}{7}-\frac{8}{7}\\=\frac{-10-8}{7}\\=\frac{-18}{7}\)
9. \(-\left(\frac{-5}{-11}\right)+\left(\frac{12}{5}\right)\\= \frac{-5}{11}+\frac{12}{5}\\=\frac{-25}{55}+\frac{132}{55}\\=\frac{-25+132}{55}\\=\frac{107}{55}\)
10. \(+\left(\frac{-13}{2}\right)+\left(\frac{6}{-5}\right)\\= \frac{-13}{2}-\frac{6}{5}\\=\frac{-65}{10}-\frac{12}{10}\\=\frac{-65-12}{10}\\=\frac{-77}{10}\)
11. \(-\left(\frac{11}{6}\right)+\left(\frac{-11}{12}\right)\\= \frac{-11}{6}-\frac{11}{12}\\=\frac{-22}{12}-\frac{11}{12}\\=\frac{-22-11}{12}\\=\frac{-33}{12}\\=\frac{-11}{4}\)
12. \(-\left(\frac{-14}{9}\right)+\left(\frac{13}{11}\right)\\= \frac{14}{9}+\frac{13}{11}\\=\frac{154}{99}+\frac{117}{99}\\=\frac{154+117}{99}\\=\frac{271}{99}\)