Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{7}{5}\right)-\left(\frac{10}{-3}\right)\\= \frac{-7}{5}+\frac{10}{3}\\=\frac{-21}{15}+\frac{50}{15}\\=\frac{-21+50}{15}\\=\frac{29}{15}\)
2. \(-\left(\frac{14}{3}\right)-\left(\frac{6}{5}\right)\\= \frac{-14}{3}-\frac{6}{5}\\=\frac{-70}{15}-\frac{18}{15}\\=\frac{-70-18}{15}\\=\frac{-88}{15}\)
3. \(+\left(\frac{8}{-9}\right)-\left(\frac{8}{9}\right)\\= \frac{-8}{9}-\frac{8}{9}\\=\frac{-8-8}{9}\\=\frac{-16}{9}\)
4. \(+\left(\frac{-13}{2}\right)-\left(\frac{2}{5}\right)\\= \frac{-13}{2}-\frac{2}{5}\\=\frac{-65}{10}-\frac{4}{10}\\=\frac{-65-4}{10}\\=\frac{-69}{10}\)
5. \(+\left(\frac{4}{-13}\right)+\left(\frac{-12}{-11}\right)\\= \frac{-4}{13}+\frac{12}{11}\\=\frac{-44}{143}+\frac{156}{143}\\=\frac{-44+156}{143}\\=\frac{112}{143}\)
6. \(-\left(\frac{4}{-7}\right)+\left(\frac{5}{-13}\right)\\= \frac{4}{7}-\frac{5}{13}\\=\frac{52}{91}-\frac{35}{91}\\=\frac{52-35}{91}\\=\frac{17}{91}\)
7. \(-\left(\frac{3}{-13}\right)+\left(\frac{9}{10}\right)\\= \frac{3}{13}+\frac{9}{10}\\=\frac{30}{130}+\frac{117}{130}\\=\frac{30+117}{130}\\=\frac{147}{130}\)
8. \(-\left(\frac{11}{-10}\right)-\left(\frac{9}{14}\right)\\= \frac{11}{10}-\frac{9}{14}\\=\frac{77}{70}-\frac{45}{70}\\=\frac{77-45}{70}\\=\frac{32}{70}\\=\frac{16}{35}\)
9. \(-\left(\frac{10}{-13}\right)+\left(\frac{-13}{-7}\right)\\= \frac{10}{13}+\frac{13}{7}\\=\frac{70}{91}+\frac{169}{91}\\=\frac{70+169}{91}\\=\frac{239}{91}\)
10. \(+\left(\frac{15}{7}\right)-\left(\frac{-9}{4}\right)\\= \frac{15}{7}+\frac{9}{4}\\=\frac{60}{28}+\frac{63}{28}\\=\frac{60+63}{28}\\=\frac{123}{28}\)
11. \(+\left(\frac{-4}{-13}\right)-\left(\frac{4}{13}\right)\\= \frac{4}{13}-\frac{4}{13}\\=\frac{4-4}{13}\\=\frac{0}{13}\\=\frac{0}{1}\)
12. \(-\left(\frac{14}{-9}\right)+\left(\frac{-14}{11}\right)\\= \frac{14}{9}-\frac{14}{11}\\=\frac{154}{99}-\frac{126}{99}\\=\frac{154-126}{99}\\=\frac{28}{99}\)