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

\(\frac{4}{5} ⋅ \frac{5}{9}\)

Vermenigvuldigen (1)
00du - Rekenen met breuken - basis - 63ms - data pool: #33020 (62ms)

a

\(\frac{4}{5} ⋅ \frac{5}{9} = \frac{20}{45} = \frac{4}{9}\)

1p

1p

b

\(-\frac{5}{7} ⋅ -1\frac{5}{8}\)

Vermenigvuldigen (2)
00dv - Rekenen met breuken - basis - 1ms - data pool: #33020 (62ms)

b

\(-\frac{5}{7} ⋅ -1\frac{5}{8} = -\frac{5}{7} ⋅ -\frac{13}{8} = \frac{65}{56} = 1\frac{9}{56}\)

1p

1p

c

\(-3\frac{1}{2} ⋅ 2\frac{4}{5}\)

Vermenigvuldigen (3)
00dw - Rekenen met breuken - basis - 0ms - data pool: #33020 (62ms)

c

\(-3\frac{1}{2} ⋅ 2\frac{4}{5} = -\frac{7}{2} ⋅ \frac{14}{5} = -\frac{98}{10} = -\frac{49}{5} = -9\frac{4}{5}\)

1p

1p

d

\(-\frac{2}{7} ⋅ -7\)

Vermenigvuldigen (4)
00dx - Rekenen met breuken - basis - 0ms - data pool: #33020 (62ms)

d

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

1p

opgave 2

Bereken.

1p

a

\(\frac{5}{8} : \frac{4}{5}\)

Delen (1)
00dy - Rekenen met breuken - basis - 322ms - data pool: #43684 (322ms)

a

\(\frac{5}{8} : \frac{4}{5} = \frac{5}{8} ⋅ \frac{5}{4} = \frac{25}{32}\)

1p

1p

b

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

Delen (2)
00dz - Rekenen met breuken - basis - 1ms - data pool: #43684 (322ms)

b

\(\frac{3}{4} : 1\frac{1}{9} = \frac{3}{4} : \frac{10}{9} = \frac{3}{4} ⋅ \frac{9}{10} = \frac{27}{40}\)

1p

1p

c

\(-9\frac{1}{2} : -7\frac{1}{2}\)

Delen (3)
00e0 - Rekenen met breuken - basis - 0ms - data pool: #43684 (322ms)

c

\(-9\frac{1}{2} : -7\frac{1}{2} = -\frac{19}{2} : -\frac{15}{2} = -\frac{19}{2} ⋅ -\frac{2}{15} = \frac{38}{30} = \frac{19}{15} = 1\frac{4}{15}\)

1p

1p

d

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

Delen (4)
00e1 - Rekenen met breuken - basis - 0ms - data pool: #43684 (322ms)

d

\(-2\frac{2}{5} : -3 = -\frac{12}{5} : -\frac{3}{1} = -\frac{12}{5} ⋅ -\frac{1}{3} = \frac{12}{15} = \frac{4}{5}\)

1p

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