Breuken haakjesregel (reeks 2)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{7}{3}\right) +\left(\frac{3}{7}\right) +\left(\frac{-8}{-12}\right)\\= \frac{-7}{3}+ \frac{3}{7}+\frac{8}{12}\\=\frac{-7}{3}+\frac{3}{7}+\frac{2}{3}\\=\frac{-49}{21}+\frac{9}{21}+\frac{14}{21}\\=\frac{-49+9+14}{21}\\=\frac{-26}{21}\)
2. \(-\left(\frac{-6}{5}\right) -\left(\frac{-3}{-3}\right) -\left(\frac{4}{-9}\right)\\= \frac{6}{5}- \frac{3}{3}+\frac{4}{9}\\=\frac{6}{5}-\frac{1}{1}+\frac{4}{9}\\=\frac{54}{45}-\frac{45}{45}+\frac{20}{45}\\=\frac{54-45+20}{45}\\=\frac{29}{45}\)
3. \(+\left(\frac{7}{2}\right) +\left(\frac{4}{2}\right) -\left(\frac{-10}{9}\right)\\= \frac{7}{2}+ \frac{4}{2}+\frac{10}{9}\\=\frac{7}{2}+\frac{2}{1}+\frac{10}{9}\\=\frac{63}{18}+\frac{36}{18}+\frac{20}{18}\\=\frac{63+36+20}{18}\\=\frac{119}{18}\)
4. \(+\left(\frac{-5}{6}\right) -\left(\frac{3}{-4}\right) -\left(\frac{7}{-10}\right)\\= \frac{-5}{6}+ \frac{3}{4}+\frac{7}{10}\\=\frac{-50}{60}+\frac{45}{60}+\frac{42}{60}\\=\frac{-50+45+42}{60}\\=\frac{37}{60}\)
5. \(-\left(\frac{10}{7}\right) +\left(\frac{-7}{2}\right) -\left(\frac{-8}{9}\right)\\= \frac{-10}{7}- \frac{7}{2}+\frac{8}{9}\\=\frac{-180}{126}-\frac{441}{126}+\frac{112}{126}\\=\frac{-180-441+112}{126}\\=\frac{-509}{126}\)
6. \(-\left(\frac{10}{3}\right) -\left(\frac{-3}{2}\right) -\left(\frac{7}{-11}\right)\\= \frac{-10}{3}+ \frac{3}{2}+\frac{7}{11}\\=\frac{-220}{66}+\frac{99}{66}+\frac{42}{66}\\=\frac{-220+99+42}{66}\\=\frac{-79}{66}\)
7. \(+\left(\frac{-7}{-8}\right) -\left(\frac{-6}{7}\right) -\left(\frac{-10}{7}\right)\\= \frac{7}{8}+ \frac{6}{7}+\frac{10}{7}\\=\frac{49}{56}+\frac{48}{56}+\frac{80}{56}\\=\frac{49+48+80}{56}\\=\frac{177}{56}\)
8. \(+\left(\frac{-9}{-2}\right) +\left(\frac{4}{2}\right) +\left(\frac{-2}{-8}\right)\\= \frac{9}{2}+ \frac{4}{2}+\frac{2}{8}\\=\frac{9}{2}+\frac{2}{1}+\frac{1}{4}\\=\frac{18}{4}+\frac{8}{4}+\frac{1}{4}\\=\frac{18+8+1}{4}\\=\frac{27}{4}\)
9. \(-\left(\frac{7}{8}\right) -\left(\frac{7}{-2}\right) +\left(\frac{12}{10}\right)\\= \frac{-7}{8}+ \frac{7}{2}+\frac{12}{10}\\=\frac{-7}{8}+\frac{7}{2}+\frac{6}{5}\\=\frac{-35}{40}+\frac{140}{40}+\frac{48}{40}\\=\frac{-35+140+48}{40}\\=\frac{153}{40}\)
10. \(-\left(\frac{-10}{-3}\right) -\left(\frac{-8}{-8}\right) +\left(\frac{-2}{5}\right)\\= \frac{-10}{3}- \frac{8}{8}-\frac{2}{5}\\=\frac{-10}{3}-\frac{1}{1}-\frac{2}{5}\\=\frac{-50}{15}-\frac{15}{15}-\frac{6}{15}\\=\frac{-50-15-6}{15}\\=\frac{-71}{15}\)
11. \(-\left(\frac{10}{-7}\right) -\left(\frac{6}{4}\right) -\left(\frac{8}{10}\right)\\= \frac{10}{7}- \frac{6}{4}-\frac{8}{10}\\=\frac{10}{7}-\frac{3}{2}-\frac{4}{5}\\=\frac{100}{70}-\frac{105}{70}-\frac{56}{70}\\=\frac{100-105-56}{70}\\=\frac{-61}{70}\)
12. \(+\left(\frac{-6}{5}\right) -\left(\frac{-6}{-8}\right) -\left(\frac{-2}{8}\right)\\= \frac{-6}{5}- \frac{6}{8}+\frac{2}{8}\\=\frac{-6}{5}-\frac{3}{4}+\frac{1}{4}\\=\frac{-24}{20}-\frac{15}{20}+\frac{5}{20}\\=\frac{-24-15+5}{20}\\=\frac{-34}{20}\\=\frac{-17}{10}\)