Breuken optellen (reeks 2)

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Tel de breuken op

1. \(\frac{18}{13}+\frac{11}{13}\)
2. \(\frac{-19}{20}+\frac{14}{15}\)
3. \(\frac{-16}{9}+\frac{9}{13}\)
4. \(\frac{-12}{19}+\frac{19}{2}\)
5. \(\frac{-16}{15}+\frac{9}{5}\)
6. \(\frac{12}{17}+\frac{5}{7}\)
7. \(\frac{11}{17}+\frac{5}{8}\)
8. \(\frac{3}{4}+\frac{12}{5}\)
9. \(\frac{-6}{5}+\frac{18}{7}\)
10. \(\frac{8}{15}+\frac{18}{7}\)
11. \(\frac{-17}{4}+\frac{13}{15}\)
12. \(\frac{4}{19}+\frac{11}{6}\)

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Tel de breuken op

Verbetersleutel

1. \(\frac{18}{13}+\frac{11}{13}\\=\frac{18+11}{13}\\=\frac{29}{13}\)
2. \(\frac{-19}{20}+\frac{14}{15}\\=\frac{-57}{60}+\frac{56}{60}\\=\frac{-57+56}{60}\\=\frac{-1}{60}\\=\frac{1}{-60}\)
3. \(\frac{-16}{9}+\frac{9}{13}\\=\frac{-208}{117}+\frac{81}{117}\\=\frac{-208+81}{117}\\=\frac{-127}{117}\)
4. \(\frac{-12}{19}+\frac{19}{2}\\=\frac{-24}{38}+\frac{361}{38}\\=\frac{-24+361}{38}\\=\frac{337}{38}\)
5. \(\frac{-16}{15}+\frac{9}{5}\\=\frac{-16+9}{15}\\=\frac{-7}{15}\)
6. \(\frac{12}{17}+\frac{5}{7}\\=\frac{84}{119}+\frac{85}{119}\\=\frac{84+85}{119}\\=\frac{169}{119}\)
7. \(\frac{11}{17}+\frac{5}{8}\\=\frac{88}{136}+\frac{85}{136}\\=\frac{88+85}{136}\\=\frac{173}{136}\)
8. \(\frac{3}{4}+\frac{12}{5}\\=\frac{15}{20}+\frac{48}{20}\\=\frac{15+48}{20}\\=\frac{63}{20}\)
9. \(\frac{-6}{5}+\frac{18}{7}\\=\frac{-42}{35}+\frac{90}{35}\\=\frac{-42+90}{35}\\=\frac{48}{35}\)
10. \(\frac{8}{15}+\frac{18}{7}\\=\frac{56}{105}+\frac{270}{105}\\=\frac{56+270}{105}\\=\frac{326}{105}\)
11. \(\frac{-17}{4}+\frac{13}{15}\\=\frac{-255}{60}+\frac{52}{60}\\=\frac{-255+52}{60}\\=\frac{-203}{60}\)
12. \(\frac{4}{19}+\frac{11}{6}\\=\frac{24}{114}+\frac{209}{114}\\=\frac{24+209}{114}\\=\frac{233}{114}\)