Breuken optellen (reeks 2)

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Tel de breuken op

1. \(\frac{-13}{7}+\frac{10}{13}\)
2. \(\frac{12}{19}+\frac{7}{18}\)
3. \(\frac{-8}{17}+\frac{15}{11}\)
4. \(\frac{5}{16}+\frac{17}{2}\)
5. \(\frac{6}{11}+\frac{20}{9}\)
6. \(\frac{18}{19}+\frac{4}{9}\)
7. \(\frac{-6}{13}+\frac{10}{7}\)
8. \(\frac{2}{17}+\frac{15}{11}\)
9. \(\frac{-16}{17}+\frac{2}{19}\)
10. \(\frac{-9}{5}+\frac{13}{14}\)
11. \(\frac{-10}{7}+\frac{11}{16}\)
12. \(\frac{5}{6}+\frac{13}{2}\)

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Tel de breuken op

Verbetersleutel

1. \(\frac{-13}{7}+\frac{10}{13}\\=\frac{-169}{91}+\frac{70}{91}\\=\frac{-169+70}{91}\\=\frac{-99}{91}\)
2. \(\frac{12}{19}+\frac{7}{18}\\=\frac{216}{342}+\frac{133}{342}\\=\frac{216+133}{342}\\=\frac{349}{342}\)
3. \(\frac{-8}{17}+\frac{15}{11}\\=\frac{-88}{187}+\frac{255}{187}\\=\frac{-88+255}{187}\\=\frac{167}{187}\)
4. \(\frac{5}{16}+\frac{17}{2}\\=\frac{5+17}{16}\\=\frac{22}{16}\\=\frac{11}{8}\)
5. \(\frac{6}{11}+\frac{20}{9}\\=\frac{54}{99}+\frac{220}{99}\\=\frac{54+220}{99}\\=\frac{274}{99}\)
6. \(\frac{18}{19}+\frac{4}{9}\\=\frac{162}{171}+\frac{76}{171}\\=\frac{162+76}{171}\\=\frac{238}{171}\)
7. \(\frac{-6}{13}+\frac{10}{7}\\=\frac{-42}{91}+\frac{130}{91}\\=\frac{-42+130}{91}\\=\frac{88}{91}\)
8. \(\frac{2}{17}+\frac{15}{11}\\=\frac{22}{187}+\frac{255}{187}\\=\frac{22+255}{187}\\=\frac{277}{187}\)
9. \(\frac{-16}{17}+\frac{2}{19}\\=\frac{-304}{323}+\frac{34}{323}\\=\frac{-304+34}{323}\\=\frac{-270}{323}\)
10. \(\frac{-9}{5}+\frac{13}{14}\\=\frac{-126}{70}+\frac{65}{70}\\=\frac{-126+65}{70}\\=\frac{-61}{70}\\=\frac{61}{-70}\)
11. \(\frac{-10}{7}+\frac{11}{16}\\=\frac{-160}{112}+\frac{77}{112}\\=\frac{-160+77}{112}\\=\frac{-83}{112}\\=\frac{83}{-112}\)
12. \(\frac{5}{6}+\frac{13}{2}\\=\frac{5+13}{6}\\=\frac{18}{6}\\=\frac{3}{1}\)