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

\(\frac{3}{4} ⋅ \frac{8}{9}\)

Vermenigvuldigen (1)
00du - Rekenen met breuken - basis - 108ms - data pool: #33020 (107ms)

a

\(\frac{3}{4} ⋅ \frac{8}{9} = \frac{24}{36} = \frac{2}{3}\)

1p

1p

b

\(\frac{3}{4} ⋅ 2\frac{5}{7}\)

Vermenigvuldigen (2)
00dv - Rekenen met breuken - basis - 1ms - data pool: #33020 (107ms)

b

\(\frac{3}{4} ⋅ 2\frac{5}{7} = \frac{3}{4} ⋅ \frac{19}{7} = \frac{57}{28} = 2\frac{1}{28}\)

1p

1p

c

\(-2\frac{1}{3} ⋅ 2\frac{1}{5}\)

Vermenigvuldigen (3)
00dw - Rekenen met breuken - basis - 0ms - data pool: #33020 (107ms)

c

\(-2\frac{1}{3} ⋅ 2\frac{1}{5} = -\frac{7}{3} ⋅ \frac{11}{5} = -\frac{77}{15} = -5\frac{2}{15}\)

1p

1p

d

\(\frac{2}{5} ⋅ -5\)

Vermenigvuldigen (4)
00dx - Rekenen met breuken - basis - 0ms - data pool: #33020 (107ms)

d

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

1p

opgave 2

Bereken.

1p

a

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

Delen (1)
00dy - Rekenen met breuken - basis - 140ms - data pool: #43684 (140ms)

a

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

1p

1p

b

\(\frac{3}{5} : 3\frac{1}{4}\)

Delen (2)
00dz - Rekenen met breuken - basis - 1ms - data pool: #43684 (140ms)

b

\(\frac{3}{5} : 3\frac{1}{4} = \frac{3}{5} : \frac{13}{4} = \frac{3}{5} ⋅ \frac{4}{13} = \frac{12}{65}\)

1p

1p

c

\(-1\frac{3}{7} : 2\frac{2}{5}\)

Delen (3)
00e0 - Rekenen met breuken - basis - 0ms - data pool: #43684 (140ms)

c

\(-1\frac{3}{7} : 2\frac{2}{5} = -\frac{10}{7} : \frac{12}{5} = -\frac{10}{7} ⋅ \frac{5}{12} = -\frac{50}{84} = -\frac{25}{42}\)

1p

1p

d

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

Delen (4)
00e1 - Rekenen met breuken - basis - 0ms - data pool: #43684 (140ms)

d

\(-5 : 2\frac{1}{3} = -\frac{5}{1} : \frac{7}{3} = -\frac{5}{1} ⋅ \frac{3}{7} = -\frac{15}{7} = -2\frac{1}{7}\)

1p
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