$(\frac{1}{8}+\frac{1}{4})× 4= \frac{
$(\frac{1}{3}+\frac{5}{6})× 6= \frac{
$\frac{2}{5}× 2+\frac{3}{5}× 2= (\frac{
$(\frac{2}{15}+\frac{3}{10})× 30= \frac{
$\frac{1}{8}× \frac{5}{14}× \frac{7}{15}= \frac{
$\frac{5}{7}× \frac{5}{34}× 17= \frac{
$24× (\frac{2}{3}+\frac{1}{8})=
1
}{8
}× 4
+\frac{1
}{4
}× 4
$$(\frac{1}{3}+\frac{5}{6})× 6= \frac{
1
}{3
}× 6
+\frac{5
}{6
}× 6
$$\frac{2}{5}× 2+\frac{3}{5}× 2= (\frac{
2
}{5
}+\frac{3
}{5
})× 2
$$(\frac{2}{15}+\frac{3}{10})× 30= \frac{
2
}{15
}× 30
+\frac{3
}{10
}× 30
$$\frac{1}{8}× \frac{5}{14}× \frac{7}{15}= \frac{
1
}{8
}× (\frac{5
}{14
}× \frac{7
}{15
})$$\frac{5}{7}× \frac{5}{34}× 17= \frac{
5
}{7
}× (\frac{5
}{34
}× 17
)$$24× (\frac{2}{3}+\frac{1}{8})=
24
× \frac{2
}{3
}+24
× \frac{1
}{8
}$
答案:
解析:
这些题目主要考察分数的分配律和结合律的应用。需要我们将表达式重新组织,以展示这些定律的应用。
答案:
$(\frac{1}{8}+\frac{1}{4}) × 4 = \frac{1}{8} × 4 + \frac{1}{4} × 4$,
$(\frac{1}{3}+\frac{5}{6}) × 6 = \frac{1}{3} × 6 + \frac{5}{6} × 6$,
$\frac{2}{5} × 2 + \frac{3}{5} × 2 = (\frac{2}{5} + \frac{3}{5}) × 2$,
$(\frac{2}{15}+\frac{3}{10}) × 30 = \frac{2}{15} × 30 + \frac{3}{10} × 30$,
$\frac{1}{8} × \frac{5}{14} × \frac{7}{15} = \frac{1}{8} × (\frac{5}{14} × \frac{7}{15})$,
$\frac{5}{7} × \frac{5}{34} × 17 = \frac{5}{7} × (\frac{5}{34} × 17)$,
$24 × (\frac{2}{3}+\frac{1}{8}) = 24 × \frac{2}{3} + 24 × \frac{1}{8}$。
这些题目主要考察分数的分配律和结合律的应用。需要我们将表达式重新组织,以展示这些定律的应用。
答案:
$(\frac{1}{8}+\frac{1}{4}) × 4 = \frac{1}{8} × 4 + \frac{1}{4} × 4$,
$(\frac{1}{3}+\frac{5}{6}) × 6 = \frac{1}{3} × 6 + \frac{5}{6} × 6$,
$\frac{2}{5} × 2 + \frac{3}{5} × 2 = (\frac{2}{5} + \frac{3}{5}) × 2$,
$(\frac{2}{15}+\frac{3}{10}) × 30 = \frac{2}{15} × 30 + \frac{3}{10} × 30$,
$\frac{1}{8} × \frac{5}{14} × \frac{7}{15} = \frac{1}{8} × (\frac{5}{14} × \frac{7}{15})$,
$\frac{5}{7} × \frac{5}{34} × 17 = \frac{5}{7} × (\frac{5}{34} × 17)$,
$24 × (\frac{2}{3}+\frac{1}{8}) = 24 × \frac{2}{3} + 24 × \frac{1}{8}$。
$\frac{3}{4}× \frac{2}{15}=$
$\frac{4}{5}+1=$
$\frac{4}{9}× 18=$
$\frac{2}{9}+\frac{2}{3}=$
$2-\frac{1}{3}=$
$\frac{7}{15}× \frac{1}{7}=$
$\frac{2}{3}+\frac{1}{3}=$
$\frac{5}{24}× \frac{8}{25}=$
$\frac{3}{42}× 2.4=$
$\frac{5}{6}× 2=$
$\frac{3}{14}× \frac{2}{9}=$
$3.3× \frac{3}{11}=$
$4× \frac{2}{9}=$
$12× \frac{1}{6}=$
$\frac{8}{9}× 2.7=$
$\frac{1}{10}$
$\frac{4}{5}+1=$
$1\frac{4}{5}$
$\frac{4}{9}× 18=$
8
$\frac{2}{9}+\frac{2}{3}=$
$\frac{8}{9}$
$2-\frac{1}{3}=$
$1\frac{2}{3}$
$\frac{7}{15}× \frac{1}{7}=$
$\frac{1}{15}$
$\frac{2}{3}+\frac{1}{3}=$
1
$\frac{5}{24}× \frac{8}{25}=$
$\frac{1}{15}$
$\frac{3}{42}× 2.4=$
$\frac{6}{35}$
$\frac{5}{6}× 2=$
$\frac{5}{3}$
$\frac{3}{14}× \frac{2}{9}=$
$\frac{1}{21}$
$3.3× \frac{3}{11}=$
0.9
$4× \frac{2}{9}=$
$\frac{8}{9}$
$12× \frac{1}{6}=$
2
$\frac{8}{9}× 2.7=$
2.4
答案:
$\frac{3}{4}× \frac{2}{15}=\frac{6}{60}=\frac{1}{10}$
$\frac{4}{5}+1=1\frac{4}{5}$
$\frac{4}{9}× 18=8$
$\frac{2}{9}+\frac{2}{3}=\frac{2}{9}+\frac{6}{9}=\frac{8}{9}$
$2-\frac{1}{3}=1\frac{2}{3}$
$\frac{7}{15}× \frac{1}{7}=\frac{1}{15}$
$\frac{2}{3}+\frac{1}{3}=1$
$\frac{5}{24}× \frac{8}{25}=\frac{40}{600}=\frac{1}{15}$
$\frac{3}{42}× 2.4=\frac{1}{14}× 2.4=\frac{2.4}{14}=\frac{6}{35}$
$\frac{5}{6}× 2=\frac{10}{6}=\frac{5}{3}$
$\frac{3}{14}× \frac{2}{9}=\frac{6}{126}=\frac{1}{21}$
$3.3× \frac{3}{11}=0.3×3=0.9$
$4× \frac{2}{9}=\frac{8}{9}$
$12× \frac{1}{6}=2$
$\frac{8}{9}× 2.7=8×0.3=2.4$
$\frac{4}{5}+1=1\frac{4}{5}$
$\frac{4}{9}× 18=8$
$\frac{2}{9}+\frac{2}{3}=\frac{2}{9}+\frac{6}{9}=\frac{8}{9}$
$2-\frac{1}{3}=1\frac{2}{3}$
$\frac{7}{15}× \frac{1}{7}=\frac{1}{15}$
$\frac{2}{3}+\frac{1}{3}=1$
$\frac{5}{24}× \frac{8}{25}=\frac{40}{600}=\frac{1}{15}$
$\frac{3}{42}× 2.4=\frac{1}{14}× 2.4=\frac{2.4}{14}=\frac{6}{35}$
$\frac{5}{6}× 2=\frac{10}{6}=\frac{5}{3}$
$\frac{3}{14}× \frac{2}{9}=\frac{6}{126}=\frac{1}{21}$
$3.3× \frac{3}{11}=0.3×3=0.9$
$4× \frac{2}{9}=\frac{8}{9}$
$12× \frac{1}{6}=2$
$\frac{8}{9}× 2.7=8×0.3=2.4$
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