Breuken optellen (reeks 1)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{5}{4}+\frac{9}{8}\\=\frac{10}{8}+\frac{9}{8}\\=\frac{10+9}{8}\\=\frac{19}{8}\)
2. \(\frac{9}{4}+\frac{3}{11}\\=\frac{99}{44}+\frac{12}{44}\\=\frac{99+12}{44}\\=\frac{111}{44}\)
3. \(\frac{5}{4}+\frac{9}{10}\\=\frac{25}{20}+\frac{18}{20}\\=\frac{25+18}{20}\\=\frac{43}{20}\)
4. \(\frac{4}{3}+\frac{4}{7}\\=\frac{28}{21}+\frac{12}{21}\\=\frac{28+12}{21}\\=\frac{40}{21}\)
5. \(\frac{5}{4}+\frac{9}{11}\\=\frac{55}{44}+\frac{36}{44}\\=\frac{55+36}{44}\\=\frac{91}{44}\)
6. \(\frac{3}{2}+\frac{3}{2}\\=\frac{3+3}{2}\\=\frac{6}{2}\\=3\)
7. \(\frac{9}{11}+\frac{9}{11}\\=\frac{9+9}{11}\\=\frac{18}{11}\)
8. \(\frac{6}{7}+\frac{2}{7}\\=\frac{6+2}{7}\\=\frac{8}{7}\)
9. \(\frac{10}{7}+\frac{4}{5}\\=\frac{50}{35}+\frac{28}{35}\\=\frac{50+28}{35}\\=\frac{78}{35}\)
10. \(\frac{10}{7}+\frac{2}{5}\\=\frac{50}{35}+\frac{14}{35}\\=\frac{50+14}{35}\\=\frac{64}{35}\)
11. \(\frac{8}{5}+\frac{10}{11}\\=\frac{88}{55}+\frac{50}{55}\\=\frac{88+50}{55}\\=\frac{138}{55}\)
12. \(\frac{8}{3}+\frac{7}{4}\\=\frac{32}{12}+\frac{21}{12}\\=\frac{32+21}{12}\\=\frac{53}{12}\)