Rekenen met breuken
04 - 12 oefeningen
Delen (1)
00dy - basis
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Bereken. 1p a \(\frac{4}{7}:\frac{3}{7}\) |
a \(\frac{4}{7}:\frac{3}{7}=\frac{4}{7}⋅\frac{7}{3}=\frac{28}{21}=\frac{4}{3}=1\frac{1}{3}\) 1p |
Delen (2)
00dz - basis
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Bereken. 1p a \(-2\frac{2}{5}:\frac{1}{7}\) |
a \(-2\frac{2}{5}:\frac{1}{7}=-\frac{12}{5}:\frac{1}{7}=-\frac{12}{5}⋅\frac{7}{1}=-\frac{84}{5}=-16\frac{4}{5}\) 1p |
Delen (3)
00e0 - basis
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Bereken. 1p a \(-5\frac{1}{3}:-2\frac{1}{5}\) |
a \(-5\frac{1}{3}:-2\frac{1}{5}=-\frac{16}{3}:-\frac{11}{5}=-\frac{16}{3}⋅-\frac{5}{11}=\frac{80}{33}=2\frac{14}{33}\) 1p |
Delen (4)
00e1 - basis
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Bereken. 1p a \(-\frac{2}{7}:3\) |
a \(-\frac{2}{7}:3=-\frac{2}{7}:\frac{3}{1}=-\frac{2}{7}⋅\frac{1}{3}=-\frac{2}{21}\) 1p |
Optellen (1)
00dq - basis
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Bereken. 1p a \(1\frac{1}{5}-3\frac{3}{5}\) |
a \(1\frac{1}{5}-3\frac{3}{5}=\frac{6}{5}-\frac{18}{5}=-\frac{12}{5}=-2\frac{2}{5}\) 1p |
Optellen (2)
00dr - basis
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Bereken. 1p a \(\frac{4}{7}-\frac{4}{5}\) |
a \(\frac{4}{7}-\frac{4}{5}={20 \over 35}-{28 \over 35}=-\frac{8}{35}\) 1p |
Optellen (3)
00ds - basis
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Bereken. 1p a \(-\frac{1}{6}+\frac{2}{3}\) |
a \(-\frac{1}{6}+\frac{2}{3}={-1 \over 6}+{4 \over 6}=\frac{3}{6}=\frac{1}{2}\) 1p |
Optellen (4)
00dt - basis
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Bereken. 1p a \(-1\frac{1}{4}+2\frac{5}{6}\) |
a \(-1\frac{1}{4}+2\frac{5}{6}=-\frac{5}{4}+\frac{17}{6}={-15 \over 12}+{34 \over 12}=\frac{19}{12}=1\frac{7}{12}\) 1p |
Vermenigvuldigen (1)
00du - basis
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Bereken. 1p a \(\frac{1}{3}⋅-\frac{4}{9}\) |
a \(\frac{1}{3}⋅-\frac{4}{9}=-\frac{4}{27}\) 1p |
Vermenigvuldigen (2)
00dv - basis
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Bereken. 1p a \(-4\frac{1}{3}⋅-\frac{1}{3}\) |
a \(-4\frac{1}{3}⋅-\frac{1}{3}=-\frac{13}{3}⋅-\frac{1}{3}=\frac{13}{9}=1\frac{4}{9}\) 1p |
Vermenigvuldigen (3)
00dw - basis
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Bereken. 1p a \(-1\frac{3}{4}⋅1\frac{3}{5}\) |
a \(-1\frac{3}{4}⋅1\frac{3}{5}=-\frac{7}{4}⋅\frac{8}{5}=-\frac{56}{20}=-\frac{14}{5}=-2\frac{4}{5}\) 1p |
Vermenigvuldigen (4)
00dx - basis
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Bereken. 1p a \(2⋅\frac{2}{5}\) |
a \(2⋅\frac{2}{5}=\frac{2}{1}⋅\frac{2}{5}=\frac{4}{5}\) 1p |