Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{-7}{15}+\frac{5}{4}\\=\frac{-28}{60}+\frac{75}{60}\\=\frac{-28+75}{60}\\=\frac{47}{60}\)
2. \(\frac{1}{3}+\frac{16}{3}\\=\frac{1+16}{3}\\=\frac{17}{3}\)
3. \(\frac{-7}{11}+\frac{8}{15}\\=\frac{-105}{165}+\frac{88}{165}\\=\frac{-105+88}{165}\\=\frac{-17}{165}\\=\frac{17}{-165}\)
4. \(\frac{3}{2}+\frac{15}{7}\\=\frac{21}{14}+\frac{30}{14}\\=\frac{21+30}{14}\\=\frac{51}{14}\)
5. \(\frac{5}{6}+\frac{3}{4}\\=\frac{10}{12}+\frac{9}{12}\\=\frac{10+9}{12}\\=\frac{19}{12}\)
6. \(\frac{4}{17}+\frac{6}{5}\\=\frac{20}{85}+\frac{102}{85}\\=\frac{20+102}{85}\\=\frac{122}{85}\)
7. \(\frac{-7}{15}+\frac{6}{11}\\=\frac{-77}{165}+\frac{90}{165}\\=\frac{-77+90}{165}\\=\frac{13}{165}\)
8. \(\frac{10}{9}+\frac{12}{17}\\=\frac{170}{153}+\frac{108}{153}\\=\frac{170+108}{153}\\=\frac{278}{153}\)
9. \(\frac{12}{11}+\frac{16}{7}\\=\frac{84}{77}+\frac{176}{77}\\=\frac{84+176}{77}\\=\frac{260}{77}\)
10. \(\frac{-20}{3}+\frac{5}{4}\\=\frac{-80}{12}+\frac{15}{12}\\=\frac{-80+15}{12}\\=\frac{-65}{12}\\=\frac{65}{-12}\)
11. \(\frac{-20}{3}+\frac{9}{13}\\=\frac{-260}{39}+\frac{27}{39}\\=\frac{-260+27}{39}\\=\frac{-233}{39}\)
12. \(\frac{-18}{11}+\frac{15}{4}\\=\frac{-72}{44}+\frac{165}{44}\\=\frac{-72+165}{44}\\=\frac{93}{44}\)