Breuken optellen (reeks 1)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{7}{8}+\frac{7}{11}\\=\frac{77}{88}+\frac{56}{88}\\=\frac{77+56}{88}\\=\frac{133}{88}\)
2. \(\frac{7}{3}+\frac{7}{10}\\=\frac{70}{30}+\frac{21}{30}\\=\frac{70+21}{30}\\=\frac{91}{30}\)
3. \(\frac{8}{3}+\frac{5}{2}\\=\frac{16}{6}+\frac{15}{6}\\=\frac{16+15}{6}\\=\frac{31}{6}\)
4. \(\frac{9}{2}+\frac{10}{3}\\=\frac{27}{6}+\frac{20}{6}\\=\frac{27+20}{6}\\=\frac{47}{6}\)
5. \(\frac{10}{7}+\frac{3}{7}\\=\frac{10+3}{7}\\=\frac{13}{7}\)
6. \(\frac{9}{10}+\frac{4}{9}\\=\frac{81}{90}+\frac{40}{90}\\=\frac{81+40}{90}\\=\frac{121}{90}\)
7. \(\frac{9}{7}+\frac{6}{11}\\=\frac{99}{77}+\frac{42}{77}\\=\frac{99+42}{77}\\=\frac{141}{77}\)
8. \(\frac{7}{5}+\frac{5}{6}\\=\frac{42}{30}+\frac{25}{30}\\=\frac{42+25}{30}\\=\frac{67}{30}\)
9. \(\frac{10}{9}+\frac{2}{3}\\=\frac{10+2}{9}\\=\frac{12}{9}\\=\frac{4}{3}\)
10. \(\frac{10}{7}+\frac{10}{9}\\=\frac{90}{63}+\frac{70}{63}\\=\frac{90+70}{63}\\=\frac{160}{63}\)
11. \(\frac{3}{2}+\frac{4}{7}\\=\frac{21}{14}+\frac{8}{14}\\=\frac{21+8}{14}\\=\frac{29}{14}\)
12. \(\frac{10}{11}+\frac{4}{7}\\=\frac{70}{77}+\frac{44}{77}\\=\frac{70+44}{77}\\=\frac{114}{77}\)