Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{2}{17}+\frac{6}{17}\\=\frac{2+6}{17}\\=\frac{8}{17}\)
2. \(\frac{1}{12}+\frac{13}{2}\\=\frac{1+13}{12}\\=\frac{14}{12}\\=\frac{7}{6}\)
3. \(\frac{3}{19}+\frac{14}{17}\\=\frac{51}{323}+\frac{266}{323}\\=\frac{51+266}{323}\\=\frac{317}{323}\)
4. \(\frac{-4}{17}+\frac{2}{9}\\=\frac{-36}{153}+\frac{34}{153}\\=\frac{-36+34}{153}\\=\frac{-2}{153}\)
5. \(\frac{-9}{5}+\frac{13}{3}\\=\frac{-27}{15}+\frac{65}{15}\\=\frac{-27+65}{15}\\=\frac{38}{15}\)
6. \(\frac{3}{10}+\frac{9}{16}\\=\frac{24}{80}+\frac{45}{80}\\=\frac{24+45}{80}\\=\frac{69}{80}\)
7. \(\frac{10}{13}+\frac{6}{5}\\=\frac{50}{65}+\frac{78}{65}\\=\frac{50+78}{65}\\=\frac{128}{65}\)
8. \(\frac{6}{5}+\frac{10}{9}\\=\frac{54}{45}+\frac{50}{45}\\=\frac{54+50}{45}\\=\frac{104}{45}\)
9. \(\frac{19}{2}+\frac{17}{3}\\=\frac{57}{6}+\frac{34}{6}\\=\frac{57+34}{6}\\=\frac{91}{6}\)
10. \(\frac{16}{13}+\frac{5}{6}\\=\frac{96}{78}+\frac{65}{78}\\=\frac{96+65}{78}\\=\frac{161}{78}\)
11. \(\frac{-7}{8}+\frac{17}{2}\\=\frac{-7+17}{8}\\=\frac{10}{8}\\=\frac{5}{4}\)
12. \(\frac{16}{19}+\frac{20}{13}\\=\frac{208}{247}+\frac{380}{247}\\=\frac{208+380}{247}\\=\frac{588}{247}\)