# Breuken optellen (reeks 2)

#### Tel de breuken op

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

#### Tel de breuken op

##### Verbetersleutel

1. $$\frac{-19}{16}+\frac{15}{13}\\=\frac{-247}{208}+\frac{240}{208}\\=\frac{-247+240}{208}\\=\frac{-7}{208}$$
2. $$\frac{16}{11}+\frac{7}{6}\\=\frac{96}{66}+\frac{77}{66}\\=\frac{96+77}{66}\\=\frac{173}{66}$$
3. $$\frac{13}{19}+\frac{16}{9}\\=\frac{117}{171}+\frac{304}{171}\\=\frac{117+304}{171}\\=\frac{421}{171}$$
4. $$\frac{-5}{3}+\frac{11}{17}\\=\frac{-85}{51}+\frac{33}{51}\\=\frac{-85+33}{51}\\=\frac{-52}{51}\\=\frac{52}{-51}$$
5. $$\frac{-3}{7}+\frac{15}{4}\\=\frac{-12}{28}+\frac{105}{28}\\=\frac{-12+105}{28}\\=\frac{93}{28}$$
6. $$\frac{-20}{3}+\frac{7}{6}\\=\frac{-40}{6}+\frac{7}{6}\\=\frac{-40+7}{6}\\=\frac{-33}{6}\\=\frac{11}{-2}$$
7. $$\frac{18}{17}+\frac{5}{14}\\=\frac{252}{238}+\frac{85}{238}\\=\frac{252+85}{238}\\=\frac{337}{238}$$
8. $$\frac{-20}{13}+\frac{19}{20}\\=\frac{-400}{260}+\frac{247}{260}\\=\frac{-400+247}{260}\\=\frac{-153}{260}\\=\frac{153}{-260}$$
9. $$\frac{-14}{3}+\frac{14}{3}\\=\frac{-14+14}{3}\\=\frac{0}{3}\\=\frac{0}{1}$$
10. $$\frac{2}{15}+\frac{7}{6}\\=\frac{4}{30}+\frac{35}{30}\\=\frac{4+35}{30}\\=\frac{39}{30}\\=\frac{13}{10}$$
11. $$\frac{2}{7}+\frac{12}{17}\\=\frac{34}{119}+\frac{84}{119}\\=\frac{34+84}{119}\\=\frac{118}{119}$$
12. $$\frac{-16}{15}+\frac{15}{4}\\=\frac{-64}{60}+\frac{225}{60}\\=\frac{-64+225}{60}\\=\frac{161}{60}$$
Oefeningengenerator vanhoeckes.be/wiskunde 2022-06-27 07:38:20