Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-12}{-11}\right)+\left(\frac{9}{10}\right)\\= \frac{12}{11}+\frac{9}{10}\\=\frac{120}{110}+\frac{99}{110}\\=\frac{120+99}{110}\\=\frac{219}{110}\)
2. \(+\left(\frac{-5}{-2}\right)+\left(\frac{-13}{12}\right)\\= \frac{5}{2}-\frac{13}{12}\\=\frac{30}{12}-\frac{13}{12}\\=\frac{30-13}{12}\\=\frac{17}{12}\)
3. \(-\left(\frac{3}{-8}\right)+\left(\frac{4}{-9}\right)\\= \frac{3}{8}-\frac{4}{9}\\=\frac{27}{72}-\frac{32}{72}\\=\frac{27-32}{72}\\=\frac{-5}{72}\)
4. \(-\left(\frac{6}{11}\right)+\left(\frac{-8}{-7}\right)\\= \frac{-6}{11}+\frac{8}{7}\\=\frac{-42}{77}+\frac{88}{77}\\=\frac{-42+88}{77}\\=\frac{46}{77}\)
5. \(+\left(\frac{-8}{-11}\right)-\left(\frac{5}{-9}\right)\\= \frac{8}{11}+\frac{5}{9}\\=\frac{72}{99}+\frac{55}{99}\\=\frac{72+55}{99}\\=\frac{127}{99}\)
6. \(-\left(\frac{-5}{6}\right)+\left(\frac{-7}{6}\right)\\= \frac{5}{6}-\frac{7}{6}\\=\frac{5-7}{6}\\=\frac{-2}{6}\\=\frac{-1}{3}\)
7. \(-\left(\frac{5}{6}\right)+\left(\frac{4}{-7}\right)\\= \frac{-5}{6}-\frac{4}{7}\\=\frac{-35}{42}-\frac{24}{42}\\=\frac{-35-24}{42}\\=\frac{-59}{42}\)
8. \(+\left(\frac{14}{-3}\right)+\left(\frac{-15}{4}\right)\\= \frac{-14}{3}-\frac{15}{4}\\=\frac{-56}{12}-\frac{45}{12}\\=\frac{-56-45}{12}\\=\frac{-101}{12}\)
9. \(-\left(\frac{-15}{-14}\right)+\left(\frac{15}{-8}\right)\\= \frac{-15}{14}-\frac{15}{8}\\=\frac{-60}{56}-\frac{105}{56}\\=\frac{-60-105}{56}\\=\frac{-165}{56}\)
10. \(+\left(\frac{-9}{2}\right)-\left(\frac{-10}{-3}\right)\\= \frac{-9}{2}-\frac{10}{3}\\=\frac{-27}{6}-\frac{20}{6}\\=\frac{-27-20}{6}\\=\frac{-47}{6}\)
11. \(-\left(\frac{8}{-13}\right)+\left(\frac{-10}{-3}\right)\\= \frac{8}{13}+\frac{10}{3}\\=\frac{24}{39}+\frac{130}{39}\\=\frac{24+130}{39}\\=\frac{154}{39}\)
12. \(-\left(\frac{-14}{-11}\right)-\left(\frac{-13}{-5}\right)\\= \frac{-14}{11}-\frac{13}{5}\\=\frac{-70}{55}-\frac{143}{55}\\=\frac{-70-143}{55}\\=\frac{-213}{55}\)