Breuken optellen (reeks 1)

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Tel de breuken op

1. \(\frac{7}{6}+\frac{2}{3}\)
2. \(\frac{7}{5}+\frac{6}{5}\)
3. \(\frac{5}{4}+\frac{8}{9}\)
4. \(\frac{8}{5}+\frac{3}{8}\)
5. \(\frac{7}{8}+\frac{5}{6}\)
6. \(\frac{3}{4}+\frac{2}{11}\)
7. \(\frac{7}{11}+\frac{3}{7}\)
8. \(\frac{10}{11}+\frac{7}{10}\)
9. \(\frac{10}{11}+\frac{7}{9}\)
10. \(\frac{7}{2}+\frac{7}{4}\)
11. \(\frac{9}{4}+\frac{9}{10}\)
12. \(\frac{6}{7}+\frac{7}{11}\)

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Tel de breuken op

Verbetersleutel

1. \(\frac{7}{6}+\frac{2}{3}\\=\frac{7+2}{6}\\=\frac{9}{6}\\=\frac{3}{2}\)
2. \(\frac{7}{5}+\frac{6}{5}\\=\frac{7+6}{5}\\=\frac{13}{5}\)
3. \(\frac{5}{4}+\frac{8}{9}\\=\frac{45}{36}+\frac{32}{36}\\=\frac{45+32}{36}\\=\frac{77}{36}\)
4. \(\frac{8}{5}+\frac{3}{8}\\=\frac{64}{40}+\frac{15}{40}\\=\frac{64+15}{40}\\=\frac{79}{40}\)
5. \(\frac{7}{8}+\frac{5}{6}\\=\frac{21}{24}+\frac{20}{24}\\=\frac{21+20}{24}\\=\frac{41}{24}\)
6. \(\frac{3}{4}+\frac{2}{11}\\=\frac{33}{44}+\frac{8}{44}\\=\frac{33+8}{44}\\=\frac{41}{44}\)
7. \(\frac{7}{11}+\frac{3}{7}\\=\frac{49}{77}+\frac{33}{77}\\=\frac{49+33}{77}\\=\frac{82}{77}\)
8. \(\frac{10}{11}+\frac{7}{10}\\=\frac{100}{110}+\frac{77}{110}\\=\frac{100+77}{110}\\=\frac{177}{110}\)
9. \(\frac{10}{11}+\frac{7}{9}\\=\frac{90}{99}+\frac{77}{99}\\=\frac{90+77}{99}\\=\frac{167}{99}\)
10. \(\frac{7}{2}+\frac{7}{4}\\=\frac{14}{4}+\frac{7}{4}\\=\frac{14+7}{4}\\=\frac{21}{4}\)
11. \(\frac{9}{4}+\frac{9}{10}\\=\frac{45}{20}+\frac{18}{20}\\=\frac{45+18}{20}\\=\frac{63}{20}\)
12. \(\frac{6}{7}+\frac{7}{11}\\=\frac{66}{77}+\frac{49}{77}\\=\frac{66+49}{77}\\=\frac{115}{77}\)