Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{7}{-4}\right)+\left(\frac{-13}{-14}\right)\\= \frac{-7}{4}+\frac{13}{14}\\=\frac{-49}{28}+\frac{26}{28}\\=\frac{-49+26}{28}\\=\frac{-23}{28}\)
2. \(+\left(\frac{-13}{3}\right)+\left(\frac{-8}{-5}\right)\\= \frac{-13}{3}+\frac{8}{5}\\=\frac{-65}{15}+\frac{24}{15}\\=\frac{-65+24}{15}\\=\frac{-41}{15}\)
3. \(+\left(\frac{-13}{-11}\right)-\left(\frac{12}{-5}\right)\\= \frac{13}{11}+\frac{12}{5}\\=\frac{65}{55}+\frac{132}{55}\\=\frac{65+132}{55}\\=\frac{197}{55}\)
4. \(-\left(\frac{13}{-4}\right)+\left(\frac{9}{-7}\right)\\= \frac{13}{4}-\frac{9}{7}\\=\frac{91}{28}-\frac{36}{28}\\=\frac{91-36}{28}\\=\frac{55}{28}\)
5. \(+\left(\frac{-14}{-13}\right)-\left(\frac{-2}{11}\right)\\= \frac{14}{13}+\frac{2}{11}\\=\frac{154}{143}+\frac{26}{143}\\=\frac{154+26}{143}\\=\frac{180}{143}\)
6. \(-\left(\frac{-15}{7}\right)-\left(\frac{-13}{-4}\right)\\= \frac{15}{7}-\frac{13}{4}\\=\frac{60}{28}-\frac{91}{28}\\=\frac{60-91}{28}\\=\frac{-31}{28}\)
7. \(-\left(\frac{-2}{-13}\right)+\left(\frac{-7}{-2}\right)\\= \frac{-2}{13}+\frac{7}{2}\\=\frac{-4}{26}+\frac{91}{26}\\=\frac{-4+91}{26}\\=\frac{87}{26}\)
8. \(+\left(\frac{10}{-7}\right)-\left(\frac{4}{11}\right)\\= \frac{-10}{7}-\frac{4}{11}\\=\frac{-110}{77}-\frac{28}{77}\\=\frac{-110-28}{77}\\=\frac{-138}{77}\)
9. \(-\left(\frac{-7}{12}\right)-\left(\frac{2}{-9}\right)\\= \frac{7}{12}+\frac{2}{9}\\=\frac{21}{36}+\frac{8}{36}\\=\frac{21+8}{36}\\=\frac{29}{36}\)
10. \(-\left(\frac{15}{4}\right)-\left(\frac{7}{8}\right)\\= \frac{-15}{4}-\frac{7}{8}\\=\frac{-30}{8}-\frac{7}{8}\\=\frac{-30-7}{8}\\=\frac{-37}{8}\)
11. \(-\left(\frac{3}{-7}\right)-\left(\frac{-7}{-5}\right)\\= \frac{3}{7}-\frac{7}{5}\\=\frac{15}{35}-\frac{49}{35}\\=\frac{15-49}{35}\\=\frac{-34}{35}\)
12. \(+\left(\frac{-8}{-3}\right)+\left(\frac{8}{-3}\right)\\= \frac{8}{3}-\frac{8}{3}\\=\frac{8-8}{3}\\=\frac{0}{3}\\=\frac{0}{1}\)