Rekenen met breuken
Bereken.
1p
\(\frac{7}{9} ⋅ \frac{3}{5}\)
○
\(\frac{7}{9} ⋅ \frac{3}{5} = \frac{21}{45} = \frac{7}{15}\)
1p
Bereken.
1p
\(2\frac{3}{4} ⋅ -\frac{5}{8}\)
○
\(2\frac{3}{4} ⋅ -\frac{5}{8} = \frac{11}{4} ⋅ -\frac{5}{8} = -\frac{55}{32} = -1\frac{23}{32}\)
1p
Bereken.
1p
\(-1\frac{1}{3} ⋅ -2\frac{3}{4}\)
○
\(-1\frac{1}{3} ⋅ -2\frac{3}{4} = -\frac{4}{3} ⋅ -\frac{11}{4} = \frac{44}{12} = \frac{11}{3} = 3\frac{2}{3}\)
1p
Bereken.
1p
\(1\frac{2}{9} ⋅ -3\)
○
\(1\frac{2}{9} ⋅ -3 = \frac{11}{9} ⋅ -\frac{3}{1} = -\frac{33}{9} = -\frac{11}{3} = -3\frac{2}{3}\)
1p
Bereken.
1p
\(-\frac{4}{7} : \frac{1}{6}\)
○
\(-\frac{4}{7} : \frac{1}{6} = -\frac{4}{7} ⋅ \frac{6}{1} = -\frac{24}{7} = -3\frac{3}{7}\)
1p
Bereken.
1p
\(\frac{1}{3} : 2\frac{5}{8}\)
○
\(\frac{1}{3} : 2\frac{5}{8} = \frac{1}{3} : \frac{21}{8} = \frac{1}{3} ⋅ \frac{8}{21} = \frac{8}{63}\)
1p
Bereken.
1p
\(1\frac{2}{9} : -2\frac{1}{5}\)
○
\(1\frac{2}{9} : -2\frac{1}{5} = \frac{11}{9} : -\frac{11}{5} = \frac{11}{9} ⋅ -\frac{5}{11} = -\frac{55}{99} = -\frac{5}{9}\)
1p
Bereken.
1p
\(-3 : -1\frac{4}{5}\)
○
\(-3 : -1\frac{4}{5} = -\frac{3}{1} : -\frac{9}{5} = -\frac{3}{1} ⋅ -\frac{5}{9} = \frac{15}{9} = \frac{5}{3} = 1\frac{2}{3}\)
1p
Bereken.
1p
\(-\frac{6}{7} - \frac{3}{7}\)
○
\(-\frac{6}{7} - \frac{3}{7} = -\frac{9}{7} = -1\frac{2}{7}\)
1p
Bereken.
1p
\(-\frac{8}{9} - \frac{3}{5}\)
○
\(-\frac{8}{9} - \frac{3}{5} = {-40 \over 45} - {27 \over 45} = -\frac{67}{45} = -1\frac{22}{45}\)
1p
Bereken.
1p
\(\frac{1}{2} + \frac{5}{6}\)
○
\(\frac{1}{2} + \frac{5}{6} = {3 \over 6} + {5 \over 6} = \frac{8}{6} = \frac{4}{3} = 1\frac{1}{3}\)
1p
Bereken.
1p
\(-\frac{3}{8} - \frac{5}{6}\)
○
\(-\frac{3}{8} - \frac{5}{6} = {-9 \over 24} - {20 \over 24} = -\frac{29}{24} = -1\frac{5}{24}\)
1p