Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{8}{-5}\right)+\left(\frac{12}{5}\right)\\= \frac{-8}{5}+\frac{12}{5}\\=\frac{-8+12}{5}\\=\frac{4}{5}\)
2. \(-\left(\frac{-9}{2}\right)+\left(\frac{14}{3}\right)\\= \frac{9}{2}+\frac{14}{3}\\=\frac{27}{6}+\frac{28}{6}\\=\frac{27+28}{6}\\=\frac{55}{6}\)
3. \(+\left(\frac{10}{11}\right)-\left(\frac{5}{-6}\right)\\= \frac{10}{11}+\frac{5}{6}\\=\frac{60}{66}+\frac{55}{66}\\=\frac{60+55}{66}\\=\frac{115}{66}\)
4. \(-\left(\frac{15}{4}\right)-\left(\frac{14}{-9}\right)\\= \frac{-15}{4}+\frac{14}{9}\\=\frac{-135}{36}+\frac{56}{36}\\=\frac{-135+56}{36}\\=\frac{-79}{36}\)
5. \(-\left(\frac{6}{11}\right)+\left(\frac{10}{7}\right)\\= \frac{-6}{11}+\frac{10}{7}\\=\frac{-42}{77}+\frac{110}{77}\\=\frac{-42+110}{77}\\=\frac{68}{77}\)
6. \(-\left(\frac{4}{3}\right)+\left(\frac{12}{-5}\right)\\= \frac{-4}{3}-\frac{12}{5}\\=\frac{-20}{15}-\frac{36}{15}\\=\frac{-20-36}{15}\\=\frac{-56}{15}\)
7. \(+\left(\frac{-13}{-5}\right)-\left(\frac{10}{3}\right)\\= \frac{13}{5}-\frac{10}{3}\\=\frac{39}{15}-\frac{50}{15}\\=\frac{39-50}{15}\\=\frac{-11}{15}\)
8. \(-\left(\frac{15}{-7}\right)+\left(\frac{3}{14}\right)\\= \frac{15}{7}+\frac{3}{14}\\=\frac{30}{14}+\frac{3}{14}\\=\frac{30+3}{14}\\=\frac{33}{14}\)
9. \(-\left(\frac{5}{7}\right)-\left(\frac{-2}{-13}\right)\\= \frac{-5}{7}-\frac{2}{13}\\=\frac{-65}{91}-\frac{14}{91}\\=\frac{-65-14}{91}\\=\frac{-79}{91}\)
10. \(+\left(\frac{-15}{7}\right)+\left(\frac{-15}{13}\right)\\= \frac{-15}{7}-\frac{15}{13}\\=\frac{-195}{91}-\frac{105}{91}\\=\frac{-195-105}{91}\\=\frac{-300}{91}\)
11. \(-\left(\frac{-9}{-2}\right)+\left(\frac{10}{3}\right)\\= \frac{-9}{2}+\frac{10}{3}\\=\frac{-27}{6}+\frac{20}{6}\\=\frac{-27+20}{6}\\=\frac{-7}{6}\)
12. \(+\left(\frac{-14}{13}\right)+\left(\frac{14}{5}\right)\\= \frac{-14}{13}+\frac{14}{5}\\=\frac{-70}{65}+\frac{182}{65}\\=\frac{-70+182}{65}\\=\frac{112}{65}\)