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

\(\frac{1}{3} ⋅ \frac{2}{3}\)

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

a

\(\frac{1}{3} ⋅ \frac{2}{3} = \frac{2}{9}\)

1p

1p

b

\(-3\frac{1}{6} ⋅ -\frac{1}{9}\)

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

b

\(-3\frac{1}{6} ⋅ -\frac{1}{9} = -\frac{19}{6} ⋅ -\frac{1}{9} = \frac{19}{54}\)

1p

1p

c

\(-1\frac{1}{6} ⋅ -1\frac{3}{5}\)

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

c

\(-1\frac{1}{6} ⋅ -1\frac{3}{5} = -\frac{7}{6} ⋅ -\frac{8}{5} = \frac{56}{30} = \frac{28}{15} = 1\frac{13}{15}\)

1p

1p

d

\(\frac{8}{9} ⋅ 2\)

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

d

\(\frac{8}{9} ⋅ 2 = \frac{8}{9} ⋅ \frac{2}{1} = \frac{16}{9} = 1\frac{7}{9}\)

1p

opgave 2

Bereken.

1p

a

\(\frac{2}{5} : -\frac{2}{7}\)

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

a

\(\frac{2}{5} : -\frac{2}{7} = \frac{2}{5} ⋅ -\frac{7}{2} = -\frac{14}{10} = -\frac{7}{5} = -1\frac{2}{5}\)

1p

1p

b

\(\frac{8}{9} : -1\frac{3}{4}\)

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

b

\(\frac{8}{9} : -1\frac{3}{4} = \frac{8}{9} : -\frac{7}{4} = \frac{8}{9} ⋅ -\frac{4}{7} = -\frac{32}{63}\)

1p

1p

c

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

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

c

\(-3\frac{1}{3} : 2\frac{5}{6} = -\frac{10}{3} : \frac{17}{6} = -\frac{10}{3} ⋅ \frac{6}{17} = -\frac{60}{51} = -\frac{20}{17} = -1\frac{3}{17}\)

1p

1p

d

\(-3\frac{3}{4} : -2\)

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

d

\(-3\frac{3}{4} : -2 = -\frac{15}{4} : -\frac{2}{1} = -\frac{15}{4} ⋅ -\frac{1}{2} = \frac{15}{8} = 1\frac{7}{8}\)

1p
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