Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-15}{-7}\right)+\left(\frac{10}{-7}\right)\\= \frac{-15}{7}-\frac{10}{7}\\=\frac{-15-10}{7}\\=\frac{-25}{7}\)
2. \(-\left(\frac{9}{8}\right)-\left(\frac{10}{11}\right)\\= \frac{-9}{8}-\frac{10}{11}\\=\frac{-99}{88}-\frac{80}{88}\\=\frac{-99-80}{88}\\=\frac{-179}{88}\)
3. \(-\left(\frac{11}{4}\right)+\left(\frac{11}{14}\right)\\= \frac{-11}{4}+\frac{11}{14}\\=\frac{-77}{28}+\frac{22}{28}\\=\frac{-77+22}{28}\\=\frac{-55}{28}\)
4. \(-\left(\frac{12}{5}\right)-\left(\frac{7}{-4}\right)\\= \frac{-12}{5}+\frac{7}{4}\\=\frac{-48}{20}+\frac{35}{20}\\=\frac{-48+35}{20}\\=\frac{-13}{20}\)
5. \(-\left(\frac{7}{8}\right)+\left(\frac{-6}{-5}\right)\\= \frac{-7}{8}+\frac{6}{5}\\=\frac{-35}{40}+\frac{48}{40}\\=\frac{-35+48}{40}\\=\frac{13}{40}\)
6. \(-\left(\frac{-12}{-11}\right)-\left(\frac{13}{2}\right)\\= \frac{-12}{11}-\frac{13}{2}\\=\frac{-24}{22}-\frac{143}{22}\\=\frac{-24-143}{22}\\=\frac{-167}{22}\)
7. \(+\left(\frac{6}{-11}\right)-\left(\frac{11}{-7}\right)\\= \frac{-6}{11}+\frac{11}{7}\\=\frac{-42}{77}+\frac{121}{77}\\=\frac{-42+121}{77}\\=\frac{79}{77}\)
8. \(-\left(\frac{6}{-5}\right)-\left(\frac{-5}{-3}\right)\\= \frac{6}{5}-\frac{5}{3}\\=\frac{18}{15}-\frac{25}{15}\\=\frac{18-25}{15}\\=\frac{-7}{15}\)
9. \(-\left(\frac{6}{13}\right)-\left(\frac{-7}{-3}\right)\\= \frac{-6}{13}-\frac{7}{3}\\=\frac{-18}{39}-\frac{91}{39}\\=\frac{-18-91}{39}\\=\frac{-109}{39}\)
10. \(+\left(\frac{-4}{-3}\right)-\left(\frac{-2}{11}\right)\\= \frac{4}{3}+\frac{2}{11}\\=\frac{44}{33}+\frac{6}{33}\\=\frac{44+6}{33}\\=\frac{50}{33}\)
11. \(-\left(\frac{-3}{2}\right)+\left(\frac{-12}{11}\right)\\= \frac{3}{2}-\frac{12}{11}\\=\frac{33}{22}-\frac{24}{22}\\=\frac{33-24}{22}\\=\frac{9}{22}\)
12. \(+\left(\frac{-4}{3}\right)-\left(\frac{13}{12}\right)\\= \frac{-4}{3}-\frac{13}{12}\\=\frac{-16}{12}-\frac{13}{12}\\=\frac{-16-13}{12}\\=\frac{-29}{12}\)