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

\(-\frac{7}{8} ⋅ -\frac{3}{8}\)

Vermenigvuldigen (1)
00du - Rekenen met breuken - basis - 139ms - data pool: #33020 (138ms)

a

\(-\frac{7}{8} ⋅ -\frac{3}{8} = \frac{21}{64}\)

1p

1p

b

\(2\frac{4}{7} ⋅ -\frac{2}{5}\)

Vermenigvuldigen (2)
00dv - Rekenen met breuken - basis - 1ms - data pool: #33020 (138ms)

b

\(2\frac{4}{7} ⋅ -\frac{2}{5} = \frac{18}{7} ⋅ -\frac{2}{5} = -\frac{36}{35} = -1\frac{1}{35}\)

1p

1p

c

\(1\frac{1}{3} ⋅ 10\frac{1}{2}\)

Vermenigvuldigen (3)
00dw - Rekenen met breuken - basis - 0ms - data pool: #33020 (138ms)

c

\(1\frac{1}{3} ⋅ 10\frac{1}{2} = \frac{4}{3} ⋅ \frac{21}{2} = \frac{84}{6} = \frac{14}{1} = 14\)

1p

1p

d

\(\frac{6}{7} ⋅ 5\)

Vermenigvuldigen (4)
00dx - Rekenen met breuken - basis - 0ms - data pool: #33020 (138ms)

d

\(\frac{6}{7} ⋅ 5 = \frac{6}{7} ⋅ \frac{5}{1} = \frac{30}{7} = 4\frac{2}{7}\)

1p

opgave 2

Bereken.

1p

a

\(\frac{6}{7} : -\frac{2}{3}\)

Delen (1)
00dy - Rekenen met breuken - basis - 299ms - data pool: #43684 (298ms)

a

\(\frac{6}{7} : -\frac{2}{3} = \frac{6}{7} ⋅ -\frac{3}{2} = -\frac{18}{14} = -\frac{9}{7} = -1\frac{2}{7}\)

1p

1p

b

\(1\frac{4}{7} : -\frac{4}{7}\)

Delen (2)
00dz - Rekenen met breuken - basis - 1ms - data pool: #43684 (298ms)

b

\(1\frac{4}{7} : -\frac{4}{7} = \frac{11}{7} : -\frac{4}{7} = \frac{11}{7} ⋅ -\frac{7}{4} = -\frac{77}{28} = -\frac{11}{4} = -2\frac{3}{4}\)

1p

1p

c

\(1\frac{1}{3} : 1\frac{7}{8}\)

Delen (3)
00e0 - Rekenen met breuken - basis - 0ms - data pool: #43684 (298ms)

c

\(1\frac{1}{3} : 1\frac{7}{8} = \frac{4}{3} : \frac{15}{8} = \frac{4}{3} ⋅ \frac{8}{15} = \frac{32}{45}\)

1p

1p

d

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

Delen (4)
00e1 - Rekenen met breuken - basis - 0ms - data pool: #43684 (298ms)

d

\(-5\frac{1}{2} : -3 = -\frac{11}{2} : -\frac{3}{1} = -\frac{11}{2} ⋅ -\frac{1}{3} = \frac{11}{6} = 1\frac{5}{6}\)

1p
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