Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-5}{-7}\right)+\left(\frac{3}{-5}\right)\\= \frac{-5}{7}-\frac{3}{5}\\=\frac{-25}{35}-\frac{21}{35}\\=\frac{-25-21}{35}\\=\frac{-46}{35}\)
2. \(+\left(\frac{12}{5}\right)-\left(\frac{-4}{-3}\right)\\= \frac{12}{5}-\frac{4}{3}\\=\frac{36}{15}-\frac{20}{15}\\=\frac{36-20}{15}\\=\frac{16}{15}\)
3. \(+\left(\frac{15}{-4}\right)+\left(\frac{15}{-11}\right)\\= \frac{-15}{4}-\frac{15}{11}\\=\frac{-165}{44}-\frac{60}{44}\\=\frac{-165-60}{44}\\=\frac{-225}{44}\)
4. \(-\left(\frac{3}{-7}\right)+\left(\frac{15}{11}\right)\\= \frac{3}{7}+\frac{15}{11}\\=\frac{33}{77}+\frac{105}{77}\\=\frac{33+105}{77}\\=\frac{138}{77}\)
5. \(+\left(\frac{3}{-13}\right)+\left(\frac{6}{11}\right)\\= \frac{-3}{13}+\frac{6}{11}\\=\frac{-33}{143}+\frac{78}{143}\\=\frac{-33+78}{143}\\=\frac{45}{143}\)
6. \(+\left(\frac{-9}{13}\right)-\left(\frac{-6}{13}\right)\\= \frac{-9}{13}+\frac{6}{13}\\=\frac{-9+6}{13}\\=\frac{-3}{13}\)
7. \(+\left(\frac{7}{8}\right)-\left(\frac{-14}{-3}\right)\\= \frac{7}{8}-\frac{14}{3}\\=\frac{21}{24}-\frac{112}{24}\\=\frac{21-112}{24}\\=\frac{-91}{24}\)
8. \(-\left(\frac{-9}{-7}\right)-\left(\frac{14}{9}\right)\\= \frac{-9}{7}-\frac{14}{9}\\=\frac{-81}{63}-\frac{98}{63}\\=\frac{-81-98}{63}\\=\frac{-179}{63}\)
9. \(-\left(\frac{-8}{3}\right)+\left(\frac{-5}{-4}\right)\\= \frac{8}{3}+\frac{5}{4}\\=\frac{32}{12}+\frac{15}{12}\\=\frac{32+15}{12}\\=\frac{47}{12}\)
10. \(+\left(\frac{5}{-7}\right)+\left(\frac{5}{8}\right)\\= \frac{-5}{7}+\frac{5}{8}\\=\frac{-40}{56}+\frac{35}{56}\\=\frac{-40+35}{56}\\=\frac{-5}{56}\)
11. \(-\left(\frac{14}{13}\right)-\left(\frac{4}{-11}\right)\\= \frac{-14}{13}+\frac{4}{11}\\=\frac{-154}{143}+\frac{52}{143}\\=\frac{-154+52}{143}\\=\frac{-102}{143}\)
12. \(+\left(\frac{13}{10}\right)+\left(\frac{-10}{-11}\right)\\= \frac{13}{10}+\frac{10}{11}\\=\frac{143}{110}+\frac{100}{110}\\=\frac{143+100}{110}\\=\frac{243}{110}\)