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

\(-\frac{1}{7}⋅\frac{2}{7}\)

Vermenigvuldigen (1)
00du - Rekenen met breuken - basis - 272ms - data pool: #33020 (271ms)

a

\(-\frac{1}{7}⋅\frac{2}{7}=-\frac{2}{49}\)

1p

1p

b

\(-\frac{2}{3}⋅1\frac{7}{8}\)

Vermenigvuldigen (2)
00dv - Rekenen met breuken - basis - 1ms - data pool: #33020 (271ms)

b

\(-\frac{2}{3}⋅1\frac{7}{8}=-\frac{2}{3}⋅\frac{15}{8}=-\frac{30}{24}=-\frac{5}{4}=-1\frac{1}{4}\)

1p

1p

c

\(1\frac{4}{9}⋅1\frac{2}{5}\)

Vermenigvuldigen (3)
00dw - Rekenen met breuken - basis - 0ms - data pool: #33020 (271ms)

c

\(1\frac{4}{9}⋅1\frac{2}{5}=\frac{13}{9}⋅\frac{7}{5}=\frac{91}{45}=2\frac{1}{45}\)

1p

1p

d

\(2⋅1\frac{1}{5}\)

Vermenigvuldigen (4)
00dx - Rekenen met breuken - basis - 0ms - data pool: #33020 (271ms)

d

\(2⋅1\frac{1}{5}=\frac{2}{1}⋅\frac{6}{5}=\frac{12}{5}=2\frac{2}{5}\)

1p

opgave 2

Bereken.

1p

a

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

Delen (1)
00dy - Rekenen met breuken - basis - 195ms - data pool: #43684 (195ms)

a

\(\frac{1}{4}:-\frac{3}{8}=\frac{1}{4}⋅-\frac{8}{3}=-\frac{8}{12}=-\frac{2}{3}\)

1p

1p

b

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

Delen (2)
00dz - Rekenen met breuken - basis - 1ms - data pool: #43684 (195ms)

b

\(-\frac{3}{5}:-3\frac{1}{2}=-\frac{3}{5}:-\frac{7}{2}=-\frac{3}{5}⋅-\frac{2}{7}=\frac{6}{35}\)

1p

1p

c

\(-2\frac{2}{7}:1\frac{2}{5}\)

Delen (3)
00e0 - Rekenen met breuken - basis - 0ms - data pool: #43684 (195ms)

c

\(-2\frac{2}{7}:1\frac{2}{5}=-\frac{16}{7}:\frac{7}{5}=-\frac{16}{7}⋅\frac{5}{7}=-\frac{80}{49}=-1\frac{31}{49}\)

1p

1p

d

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

Delen (4)
00e1 - Rekenen met breuken - basis - 0ms - data pool: #43684 (195ms)

d

\(\frac{2}{5}:3=\frac{2}{5}:\frac{3}{1}=\frac{2}{5}⋅\frac{1}{3}=\frac{2}{15}\)

1p

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