Getal & Ruimte (13e editie) - 2 havo/vwo

'Rekenen met breuken'.

2 havo/vwo 1.3 Breuken vermenigvuldigen en delen

Rekenen met breuken (8)

opgave 1

Bereken.

1p

a

\(-\frac{1}{8} ⋅ \frac{2}{5}\)

Vermenigvuldigen (1)
00du - Rekenen met breuken - basis - 122ms - data pool: #33020 (122ms)

a

\(-\frac{1}{8} ⋅ \frac{2}{5} = -\frac{2}{40} = -\frac{1}{20}\)

1p

1p

b

\(-1\frac{3}{4} ⋅ \frac{3}{7}\)

Vermenigvuldigen (2)
00dv - Rekenen met breuken - basis - 1ms - data pool: #33020 (122ms)

b

\(-1\frac{3}{4} ⋅ \frac{3}{7} = -\frac{7}{4} ⋅ \frac{3}{7} = -\frac{21}{28} = -\frac{3}{4}\)

1p

1p

c

\(-1\frac{2}{5} ⋅ 4\frac{2}{3}\)

Vermenigvuldigen (3)
00dw - Rekenen met breuken - basis - 0ms - data pool: #33020 (122ms)

c

\(-1\frac{2}{5} ⋅ 4\frac{2}{3} = -\frac{7}{5} ⋅ \frac{14}{3} = -\frac{98}{15} = -6\frac{8}{15}\)

1p

1p

d

\(-\frac{4}{9} ⋅ -2\)

Vermenigvuldigen (4)
00dx - Rekenen met breuken - basis - 0ms - data pool: #33020 (122ms)

d

\(-\frac{4}{9} ⋅ -2 = -\frac{4}{9} ⋅ -\frac{2}{1} = \frac{8}{9}\)

1p

opgave 2

Bereken.

1p

a

\(-\frac{5}{6} : -\frac{1}{2}\)

Delen (1)
00dy - Rekenen met breuken - basis - 106ms - data pool: #43684 (105ms)

a

\(-\frac{5}{6} : -\frac{1}{2} = -\frac{5}{6} ⋅ -\frac{2}{1} = \frac{10}{6} = \frac{5}{3} = 1\frac{2}{3}\)

1p

1p

b

\(-\frac{1}{9} : 1\frac{3}{7}\)

Delen (2)
00dz - Rekenen met breuken - basis - 1ms - data pool: #43684 (105ms)

b

\(-\frac{1}{9} : 1\frac{3}{7} = -\frac{1}{9} : \frac{10}{7} = -\frac{1}{9} ⋅ \frac{7}{10} = -\frac{7}{90}\)

1p

1p

c

\(1\frac{4}{9} : -5\frac{1}{2}\)

Delen (3)
00e0 - Rekenen met breuken - basis - 0ms - data pool: #43684 (105ms)

c

\(1\frac{4}{9} : -5\frac{1}{2} = \frac{13}{9} : -\frac{11}{2} = \frac{13}{9} ⋅ -\frac{2}{11} = -\frac{26}{99}\)

1p

1p

d

\(3 : 2\frac{5}{6}\)

Delen (4)
00e1 - Rekenen met breuken - basis - 0ms - data pool: #43684 (105ms)

d

\(3 : 2\frac{5}{6} = \frac{3}{1} : \frac{17}{6} = \frac{3}{1} ⋅ \frac{6}{17} = \frac{18}{17} = 1\frac{1}{17}\)

1p
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