Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-4}{-9}\right)-\left(\frac{-8}{-7}\right)\\= \frac{4}{9}-\frac{8}{7}\\=\frac{28}{63}-\frac{72}{63}\\=\frac{28-72}{63}\\=\frac{-44}{63}\)
2. \(+\left(\frac{-9}{10}\right)+\left(\frac{-7}{10}\right)\\= \frac{-9}{10}-\frac{7}{10}\\=\frac{-9-7}{10}\\=\frac{-16}{10}\\=\frac{-8}{5}\)
3. \(+\left(\frac{12}{-7}\right)-\left(\frac{-9}{11}\right)\\= \frac{-12}{7}+\frac{9}{11}\\=\frac{-132}{77}+\frac{63}{77}\\=\frac{-132+63}{77}\\=\frac{-69}{77}\)
4. \(-\left(\frac{11}{2}\right)+\left(\frac{2}{3}\right)\\= \frac{-11}{2}+\frac{2}{3}\\=\frac{-33}{6}+\frac{4}{6}\\=\frac{-33+4}{6}\\=\frac{-29}{6}\)
5. \(-\left(\frac{5}{14}\right)-\left(\frac{-12}{5}\right)\\= \frac{-5}{14}+\frac{12}{5}\\=\frac{-25}{70}+\frac{168}{70}\\=\frac{-25+168}{70}\\=\frac{143}{70}\)
6. \(+\left(\frac{-14}{-3}\right)-\left(\frac{7}{8}\right)\\= \frac{14}{3}-\frac{7}{8}\\=\frac{112}{24}-\frac{21}{24}\\=\frac{112-21}{24}\\=\frac{91}{24}\)
7. \(-\left(\frac{-3}{-7}\right)-\left(\frac{14}{-9}\right)\\= \frac{-3}{7}+\frac{14}{9}\\=\frac{-27}{63}+\frac{98}{63}\\=\frac{-27+98}{63}\\=\frac{71}{63}\)
8. \(+\left(\frac{12}{-7}\right)+\left(\frac{-13}{-4}\right)\\= \frac{-12}{7}+\frac{13}{4}\\=\frac{-48}{28}+\frac{91}{28}\\=\frac{-48+91}{28}\\=\frac{43}{28}\)
9. \(-\left(\frac{-4}{3}\right)-\left(\frac{6}{5}\right)\\= \frac{4}{3}-\frac{6}{5}\\=\frac{20}{15}-\frac{18}{15}\\=\frac{20-18}{15}\\=\frac{2}{15}\)
10. \(+\left(\frac{-9}{-4}\right)+\left(\frac{14}{11}\right)\\= \frac{9}{4}+\frac{14}{11}\\=\frac{99}{44}+\frac{56}{44}\\=\frac{99+56}{44}\\=\frac{155}{44}\)
11. \(-\left(\frac{-2}{-9}\right)+\left(\frac{9}{-10}\right)\\= \frac{-2}{9}-\frac{9}{10}\\=\frac{-20}{90}-\frac{81}{90}\\=\frac{-20-81}{90}\\=\frac{-101}{90}\)
12. \(-\left(\frac{-6}{5}\right)-\left(\frac{10}{7}\right)\\= \frac{6}{5}-\frac{10}{7}\\=\frac{42}{35}-\frac{50}{35}\\=\frac{42-50}{35}\\=\frac{-8}{35}\)