Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{3}{8}\right)-\left(\frac{-13}{2}\right)\\= \frac{-3}{8}+\frac{13}{2}\\=\frac{-3+13}{8}\\=\frac{10}{8}\\=\frac{5}{4}\)
2. \(+\left(\frac{3}{-5}\right)-\left(\frac{-15}{2}\right)\\= \frac{-3}{5}+\frac{15}{2}\\=\frac{-6}{10}+\frac{75}{10}\\=\frac{-6+75}{10}\\=\frac{69}{10}\)
3. \(-\left(\frac{-5}{-6}\right)-\left(\frac{4}{-3}\right)\\= \frac{-5}{6}+\frac{4}{3}\\=\frac{-5+4}{6}\\=\frac{-1}{6}\)
4. \(-\left(\frac{-15}{-2}\right)-\left(\frac{13}{-14}\right)\\= \frac{-15}{2}+\frac{13}{14}\\=\frac{-105}{14}+\frac{13}{14}\\=\frac{-105+13}{14}\\=\frac{-92}{14}\\=\frac{-46}{7}\)
5. \(-\left(\frac{-8}{-11}\right)+\left(\frac{-6}{7}\right)\\= \frac{-8}{11}-\frac{6}{7}\\=\frac{-56}{77}-\frac{66}{77}\\=\frac{-56-66}{77}\\=\frac{-122}{77}\)
6. \(-\left(\frac{15}{-13}\right)+\left(\frac{10}{-3}\right)\\= \frac{15}{13}-\frac{10}{3}\\=\frac{45}{39}-\frac{130}{39}\\=\frac{45-130}{39}\\=\frac{-85}{39}\)
7. \(+\left(\frac{4}{5}\right)+\left(\frac{13}{-7}\right)\\= \frac{4}{5}-\frac{13}{7}\\=\frac{28}{35}-\frac{65}{35}\\=\frac{28-65}{35}\\=\frac{-37}{35}\)
8. \(-\left(\frac{-5}{11}\right)-\left(\frac{6}{5}\right)\\= \frac{5}{11}-\frac{6}{5}\\=\frac{25}{55}-\frac{66}{55}\\=\frac{25-66}{55}\\=\frac{-41}{55}\)
9. \(-\left(\frac{13}{-6}\right)-\left(\frac{-12}{-5}\right)\\= \frac{13}{6}-\frac{12}{5}\\=\frac{65}{30}-\frac{72}{30}\\=\frac{65-72}{30}\\=\frac{-7}{30}\)
10. \(+\left(\frac{2}{-3}\right)+\left(\frac{2}{-13}\right)\\= \frac{-2}{3}-\frac{2}{13}\\=\frac{-26}{39}-\frac{6}{39}\\=\frac{-26-6}{39}\\=\frac{-32}{39}\)
11. \(+\left(\frac{-3}{2}\right)+\left(\frac{2}{-3}\right)\\= \frac{-3}{2}-\frac{2}{3}\\=\frac{-9}{6}-\frac{4}{6}\\=\frac{-9-4}{6}\\=\frac{-13}{6}\)
12. \(+\left(\frac{4}{-9}\right)+\left(\frac{15}{-11}\right)\\= \frac{-4}{9}-\frac{15}{11}\\=\frac{-44}{99}-\frac{135}{99}\\=\frac{-44-135}{99}\\=\frac{-179}{99}\)