Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{-20}{3}+\frac{12}{5}\\=\frac{-100}{15}+\frac{36}{15}\\=\frac{-100+36}{15}\\=\frac{-64}{15}\\=\frac{64}{-15}\)
2. \(\frac{-4}{17}+\frac{3}{11}\\=\frac{-44}{187}+\frac{51}{187}\\=\frac{-44+51}{187}\\=\frac{7}{187}\)
3. \(\frac{-13}{7}+\frac{2}{3}\\=\frac{-39}{21}+\frac{14}{21}\\=\frac{-39+14}{21}\\=\frac{-25}{21}\)
4. \(\frac{12}{5}+\frac{9}{7}\\=\frac{84}{35}+\frac{45}{35}\\=\frac{84+45}{35}\\=\frac{129}{35}\)
5. \(\frac{-13}{7}+\frac{9}{11}\\=\frac{-143}{77}+\frac{63}{77}\\=\frac{-143+63}{77}\\=\frac{-80}{77}\\=\frac{80}{-77}\)
6. \(\frac{-20}{3}+\frac{7}{8}\\=\frac{-160}{24}+\frac{21}{24}\\=\frac{-160+21}{24}\\=\frac{-139}{24}\)
7. \(\frac{4}{7}+\frac{3}{16}\\=\frac{64}{112}+\frac{21}{112}\\=\frac{64+21}{112}\\=\frac{85}{112}\)
8. \(\frac{-13}{9}+\frac{8}{15}\\=\frac{-65}{45}+\frac{24}{45}\\=\frac{-65+24}{45}\\=\frac{-41}{45}\\=\frac{41}{-45}\)
9. \(\frac{-6}{13}+\frac{18}{11}\\=\frac{-66}{143}+\frac{234}{143}\\=\frac{-66+234}{143}\\=\frac{168}{143}\)
10. \(\frac{-16}{7}+\frac{18}{11}\\=\frac{-176}{77}+\frac{126}{77}\\=\frac{-176+126}{77}\\=\frac{-50}{77}\)
11. \(\frac{-2}{3}+\frac{10}{19}\\=\frac{-38}{57}+\frac{30}{57}\\=\frac{-38+30}{57}\\=\frac{-8}{57}\)
12. \(\frac{12}{11}+\frac{20}{17}\\=\frac{204}{187}+\frac{220}{187}\\=\frac{204+220}{187}\\=\frac{424}{187}\)