Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{-2}{17}+\frac{15}{11}\\=\frac{-22}{187}+\frac{255}{187}\\=\frac{-22+255}{187}\\=\frac{233}{187}\)
2. \(\frac{-11}{6}+\frac{5}{19}\\=\frac{-209}{114}+\frac{30}{114}\\=\frac{-209+30}{114}\\=\frac{-179}{114}\)
3. \(\frac{13}{2}+\frac{17}{11}\\=\frac{143}{22}+\frac{34}{22}\\=\frac{143+34}{22}\\=\frac{177}{22}\)
4. \(\frac{-11}{9}+\frac{12}{13}\\=\frac{-143}{117}+\frac{108}{117}\\=\frac{-143+108}{117}\\=\frac{-35}{117}\)
5. \(\frac{14}{3}+\frac{4}{19}\\=\frac{266}{57}+\frac{12}{57}\\=\frac{266+12}{57}\\=\frac{278}{57}\)
6. \(\frac{-12}{17}+\frac{10}{3}\\=\frac{-36}{51}+\frac{170}{51}\\=\frac{-36+170}{51}\\=\frac{134}{51}\)
7. \(\frac{18}{17}+\frac{8}{11}\\=\frac{198}{187}+\frac{136}{187}\\=\frac{198+136}{187}\\=\frac{334}{187}\)
8. \(\frac{14}{3}+\frac{15}{11}\\=\frac{154}{33}+\frac{45}{33}\\=\frac{154+45}{33}\\=\frac{199}{33}\)
9. \(\frac{-10}{17}+\frac{19}{6}\\=\frac{-60}{102}+\frac{323}{102}\\=\frac{-60+323}{102}\\=\frac{263}{102}\)
10. \(\frac{13}{15}+\frac{15}{16}\\=\frac{208}{240}+\frac{225}{240}\\=\frac{208+225}{240}\\=\frac{433}{240}\)
11. \(\frac{10}{17}+\frac{12}{11}\\=\frac{110}{187}+\frac{204}{187}\\=\frac{110+204}{187}\\=\frac{314}{187}\)
12. \(\frac{14}{13}+\frac{6}{5}\\=\frac{70}{65}+\frac{78}{65}\\=\frac{70+78}{65}\\=\frac{148}{65}\)