Breuken optellen (reeks 1)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{10}{3}+\frac{4}{3}\\=\frac{10+4}{3}\\=\frac{14}{3}\)
2. \(\frac{9}{11}+\frac{7}{12}\\=\frac{108}{132}+\frac{77}{132}\\=\frac{108+77}{132}\\=\frac{185}{132}\)
3. \(\frac{5}{6}+\frac{6}{11}\\=\frac{55}{66}+\frac{36}{66}\\=\frac{55+36}{66}\\=\frac{91}{66}\)
4. \(\frac{10}{3}+\frac{8}{9}\\=\frac{30}{9}+\frac{8}{9}\\=\frac{30+8}{9}\\=\frac{38}{9}\)
5. \(\frac{9}{8}+\frac{6}{11}\\=\frac{99}{88}+\frac{48}{88}\\=\frac{99+48}{88}\\=\frac{147}{88}\)
6. \(\frac{10}{7}+\frac{10}{9}\\=\frac{90}{63}+\frac{70}{63}\\=\frac{90+70}{63}\\=\frac{160}{63}\)
7. \(\frac{5}{2}+\frac{6}{11}\\=\frac{55}{22}+\frac{12}{22}\\=\frac{55+12}{22}\\=\frac{67}{22}\)
8. \(\frac{3}{2}+\frac{8}{9}\\=\frac{27}{18}+\frac{16}{18}\\=\frac{27+16}{18}\\=\frac{43}{18}\)
9. \(\frac{4}{3}+\frac{5}{7}\\=\frac{28}{21}+\frac{15}{21}\\=\frac{28+15}{21}\\=\frac{43}{21}\)
10. \(\frac{9}{2}+\frac{9}{5}\\=\frac{45}{10}+\frac{18}{10}\\=\frac{45+18}{10}\\=\frac{63}{10}\)
11. \(\frac{9}{7}+\frac{2}{5}\\=\frac{45}{35}+\frac{14}{35}\\=\frac{45+14}{35}\\=\frac{59}{35}\)
12. \(\frac{5}{4}+\frac{6}{11}\\=\frac{55}{44}+\frac{24}{44}\\=\frac{55+24}{44}\\=\frac{79}{44}\)