Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{-13}{7}+\frac{6}{7}\\=\frac{-13+6}{7}\\=\frac{-7}{7}\\=\frac{-1}{1}\)
2. \(\frac{-7}{8}+\frac{18}{11}\\=\frac{-77}{88}+\frac{144}{88}\\=\frac{-77+144}{88}\\=\frac{67}{88}\)
3. \(\frac{6}{19}+\frac{15}{13}\\=\frac{78}{247}+\frac{285}{247}\\=\frac{78+285}{247}\\=\frac{363}{247}\)
4. \(\frac{-1}{2}+\frac{15}{7}\\=\frac{-7}{14}+\frac{30}{14}\\=\frac{-7+30}{14}\\=\frac{23}{14}\)
5. \(\frac{-18}{11}+\frac{7}{16}\\=\frac{-288}{176}+\frac{77}{176}\\=\frac{-288+77}{176}\\=\frac{-211}{176}\)
6. \(\frac{-11}{3}+\frac{18}{17}\\=\frac{-187}{51}+\frac{54}{51}\\=\frac{-187+54}{51}\\=\frac{-133}{51}\)
7. \(\frac{-19}{5}+\frac{4}{11}\\=\frac{-209}{55}+\frac{20}{55}\\=\frac{-209+20}{55}\\=\frac{-189}{55}\)
8. \(\frac{-5}{6}+\frac{5}{2}\\=\frac{-5+5}{6}\\=\frac{0}{6}\\=\frac{0}{1}\)
9. \(\frac{-7}{12}+\frac{2}{3}\\=\frac{-7+2}{12}\\=\frac{-5}{12}\\=\frac{5}{-12}\)
10. \(\frac{-3}{10}+\frac{20}{19}\\=\frac{-57}{190}+\frac{200}{190}\\=\frac{-57+200}{190}\\=\frac{143}{190}\)
11. \(\frac{18}{17}+\frac{6}{19}\\=\frac{342}{323}+\frac{102}{323}\\=\frac{342+102}{323}\\=\frac{444}{323}\)
12. \(\frac{-2}{11}+\frac{13}{10}\\=\frac{-20}{110}+\frac{143}{110}\\=\frac{-20+143}{110}\\=\frac{123}{110}\)