Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{-20}{19}+\frac{15}{13}\\=\frac{-260}{247}+\frac{285}{247}\\=\frac{-260+285}{247}\\=\frac{25}{247}\)
2. \(\frac{-20}{3}+\frac{8}{17}\\=\frac{-340}{51}+\frac{24}{51}\\=\frac{-340+24}{51}\\=\frac{-316}{51}\)
3. \(\frac{4}{15}+\frac{2}{11}\\=\frac{44}{165}+\frac{30}{165}\\=\frac{44+30}{165}\\=\frac{74}{165}\)
4. \(\frac{15}{11}+\frac{18}{7}\\=\frac{105}{77}+\frac{198}{77}\\=\frac{105+198}{77}\\=\frac{303}{77}\)
5. \(\frac{15}{16}+\frac{11}{20}\\=\frac{75}{80}+\frac{44}{80}\\=\frac{75+44}{80}\\=\frac{119}{80}\)
6. \(\frac{-6}{17}+\frac{2}{5}\\=\frac{-30}{85}+\frac{34}{85}\\=\frac{-30+34}{85}\\=\frac{4}{85}\)
7. \(\frac{-13}{8}+\frac{16}{9}\\=\frac{-117}{72}+\frac{128}{72}\\=\frac{-117+128}{72}\\=\frac{11}{72}\)
8. \(\frac{3}{4}+\frac{5}{14}\\=\frac{21}{28}+\frac{10}{28}\\=\frac{21+10}{28}\\=\frac{31}{28}\)
9. \(\frac{7}{17}+\frac{11}{3}\\=\frac{21}{51}+\frac{187}{51}\\=\frac{21+187}{51}\\=\frac{208}{51}\)
10. \(\frac{15}{7}+\frac{15}{14}\\=\frac{30}{14}+\frac{15}{14}\\=\frac{30+15}{14}\\=\frac{45}{14}\)
11. \(\frac{-8}{19}+\frac{12}{19}\\=\frac{-8+12}{19}\\=\frac{4}{19}\)
12. \(\frac{10}{9}+\frac{13}{3}\\=\frac{10+13}{9}\\=\frac{23}{9}\)