Breuken optellen (reeks 1)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{8}{9}+\frac{5}{11}\\=\frac{88}{99}+\frac{45}{99}\\=\frac{88+45}{99}\\=\frac{133}{99}\)
2. \(\frac{7}{2}+\frac{6}{11}\\=\frac{77}{22}+\frac{12}{22}\\=\frac{77+12}{22}\\=\frac{89}{22}\)
3. \(\frac{4}{11}+\frac{2}{7}\\=\frac{28}{77}+\frac{22}{77}\\=\frac{28+22}{77}\\=\frac{50}{77}\)
4. \(\frac{8}{3}+\frac{2}{9}\\=\frac{24}{9}+\frac{2}{9}\\=\frac{24+2}{9}\\=\frac{26}{9}\)
5. \(\frac{7}{11}+\frac{3}{10}\\=\frac{70}{110}+\frac{33}{110}\\=\frac{70+33}{110}\\=\frac{103}{110}\)
6. \(\frac{6}{11}+\frac{5}{11}\\=\frac{6+5}{11}\\=\frac{11}{11}\\=1\)
7. \(\frac{5}{7}+\frac{3}{11}\\=\frac{55}{77}+\frac{21}{77}\\=\frac{55+21}{77}\\=\frac{76}{77}\)
8. \(\frac{2}{5}+\frac{4}{11}\\=\frac{22}{55}+\frac{20}{55}\\=\frac{22+20}{55}\\=\frac{42}{55}\)
9. \(\frac{8}{5}+\frac{4}{9}\\=\frac{72}{45}+\frac{20}{45}\\=\frac{72+20}{45}\\=\frac{92}{45}\)
10. \(\frac{9}{10}+\frac{4}{9}\\=\frac{81}{90}+\frac{40}{90}\\=\frac{81+40}{90}\\=\frac{121}{90}\)
11. \(\frac{8}{7}+\frac{10}{9}\\=\frac{72}{63}+\frac{70}{63}\\=\frac{72+70}{63}\\=\frac{142}{63}\)
12. \(\frac{7}{2}+\frac{3}{7}\\=\frac{49}{14}+\frac{6}{14}\\=\frac{49+6}{14}\\=\frac{55}{14}\)