Getal & Ruimte (13e editie) - vwo wiskunde A

'Rekenen met breuken'.

vwo wiskunde A 3.1 Breuken en verhoudingen

Rekenen met breuken (12)

opgave 1

Bereken.

1p

a

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

Optellen (1)
00dq - Rekenen met breuken - basis - data pool: #40460 (104ms)

a

\(-\frac{2}{7}-\frac{2}{7}=-\frac{4}{7}\)

1p

1p

b

\(-\frac{7}{9}-\frac{4}{7}\)

Optellen (2)
00dr - Rekenen met breuken - basis - data pool: #40460 (104ms)

b

\(-\frac{7}{9}-\frac{4}{7}={-49 \over 63}-{36 \over 63}=-\frac{85}{63}=-1\frac{22}{63}\)

1p

1p

c

\(-3\frac{1}{6}+3\frac{2}{3}\)

Optellen (3)
00ds - Rekenen met breuken - basis - data pool: #40460 (104ms)

c

\(-3\frac{1}{6}+3\frac{2}{3}=-\frac{19}{6}+\frac{11}{3}={-19 \over 6}+{22 \over 6}=\frac{3}{6}=\frac{1}{2}\)

1p

1p

d

\(-2\frac{5}{6}-\frac{7}{8}\)

Optellen (4)
00dt - Rekenen met breuken - basis - data pool: #40460 (104ms)

d

\(-2\frac{5}{6}-\frac{7}{8}=-\frac{17}{6}-\frac{7}{8}={-68 \over 24}-{21 \over 24}=-\frac{89}{24}=-3\frac{17}{24}\)

1p

opgave 2

Bereken.

1p

a

\(\frac{4}{5}⋅-\frac{1}{5}\)

Vermenigvuldigen (1)
00du - Rekenen met breuken - basis - data pool: #33020 (305ms)

a

\(\frac{4}{5}⋅-\frac{1}{5}=-\frac{4}{25}\)

1p

1p

b

\(-\frac{2}{5}⋅2\frac{1}{6}\)

Vermenigvuldigen (2)
00dv - Rekenen met breuken - basis - data pool: #33020 (305ms)

b

\(-\frac{2}{5}⋅2\frac{1}{6}=-\frac{2}{5}⋅\frac{13}{6}=-\frac{26}{30}=-\frac{13}{15}\)

1p

1p

c

\(4\frac{1}{2}⋅-1\frac{1}{6}\)

Vermenigvuldigen (3)
00dw - Rekenen met breuken - basis - data pool: #33020 (305ms)

c

\(4\frac{1}{2}⋅-1\frac{1}{6}=\frac{9}{2}⋅-\frac{7}{6}=-\frac{63}{12}=-\frac{21}{4}=-5\frac{1}{4}\)

1p

1p

d

\(-\frac{4}{9}⋅-3\)

Vermenigvuldigen (4)
00dx - Rekenen met breuken - basis - data pool: #33020 (305ms)

d

\(-\frac{4}{9}⋅-3=-\frac{4}{9}⋅-\frac{3}{1}=\frac{12}{9}=\frac{4}{3}=1\frac{1}{3}\)

1p

opgave 3

Bereken.

1p

a

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

Delen (1)
00dy - Rekenen met breuken - basis - data pool: #43684 (134ms)

a

\(-\frac{1}{8}:\frac{7}{8}=-\frac{1}{8}⋅\frac{8}{7}=-\frac{8}{56}=-\frac{1}{7}\)

1p

1p

b

\(-2\frac{1}{4}:-\frac{2}{7}\)

Delen (2)
00dz - Rekenen met breuken - basis - data pool: #43684 (134ms)

b

\(-2\frac{1}{4}:-\frac{2}{7}=-\frac{9}{4}:-\frac{2}{7}=-\frac{9}{4}⋅-\frac{7}{2}=\frac{63}{8}=7\frac{7}{8}\)

1p

1p

c

\(-2\frac{1}{6}:1\frac{1}{7}\)

Delen (3)
00e0 - Rekenen met breuken - basis - data pool: #43684 (134ms)

c

\(-2\frac{1}{6}:1\frac{1}{7}=-\frac{13}{6}:\frac{8}{7}=-\frac{13}{6}⋅\frac{7}{8}=-\frac{91}{48}=-1\frac{43}{48}\)

1p

1p

d

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

Delen (4)
00e1 - Rekenen met breuken - basis - data pool: #43684 (134ms)

d

\(-6:-5\frac{1}{3}=-\frac{6}{1}:-\frac{16}{3}=-\frac{6}{1}⋅-\frac{3}{16}=\frac{18}{16}=\frac{9}{8}=1\frac{1}{8}\)

1p
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