Breuken optellen (reeks 1)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{3}{2}+\frac{5}{4}\\=\frac{6}{4}+\frac{5}{4}\\=\frac{6+5}{4}\\=\frac{11}{4}\)
2. \(\frac{10}{3}+\frac{4}{7}\\=\frac{70}{21}+\frac{12}{21}\\=\frac{70+12}{21}\\=\frac{82}{21}\)
3. \(\frac{8}{3}+\frac{2}{7}\\=\frac{56}{21}+\frac{6}{21}\\=\frac{56+6}{21}\\=\frac{62}{21}\)
4. \(\frac{9}{8}+\frac{2}{9}\\=\frac{81}{72}+\frac{16}{72}\\=\frac{81+16}{72}\\=\frac{97}{72}\)
5. \(\frac{2}{3}+\frac{5}{11}\\=\frac{22}{33}+\frac{15}{33}\\=\frac{22+15}{33}\\=\frac{37}{33}\)
6. \(\frac{6}{5}+\frac{2}{11}\\=\frac{66}{55}+\frac{10}{55}\\=\frac{66+10}{55}\\=\frac{76}{55}\)
7. \(\frac{9}{10}+\frac{9}{10}\\=\frac{9+9}{10}\\=\frac{18}{10}\\=\frac{9}{5}\)
8. \(\frac{8}{5}+\frac{4}{3}\\=\frac{24}{15}+\frac{20}{15}\\=\frac{24+20}{15}\\=\frac{44}{15}\)
9. \(\frac{9}{10}+\frac{7}{10}\\=\frac{9+7}{10}\\=\frac{16}{10}\\=\frac{8}{5}\)
10. \(\frac{7}{8}+\frac{2}{11}\\=\frac{77}{88}+\frac{16}{88}\\=\frac{77+16}{88}\\=\frac{93}{88}\)
11. \(\frac{9}{7}+\frac{4}{7}\\=\frac{9+4}{7}\\=\frac{13}{7}\)
12. \(\frac{3}{2}+\frac{5}{11}\\=\frac{33}{22}+\frac{10}{22}\\=\frac{33+10}{22}\\=\frac{43}{22}\)