2/5x1/2:1/3
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`1/5xx1/2:3/10`
`=1/10xx10/3`
`=1/3`
`1/2xx1/3:1/4`
`=1/6xx4/1`
`=2/3`
a) \(\dfrac{1}{5}\times\dfrac{1}{2}:\dfrac{3}{10}=\dfrac{1}{5}\times\dfrac{1}{2}\times\dfrac{10}{3}=\dfrac{1\times1\times10}{5\times2\times3}=\dfrac{10}{30}=\dfrac{1}{3}\)
b) \(\dfrac{1}{2}\times\dfrac{1}{3}:\dfrac{1}{4}=\dfrac{1}{2}\times\dfrac{1}{3}\times4=\dfrac{1\times1\times4}{2\times3}=\dfrac{4}{6}=\dfrac{2}{3}\)
2/9 : 2/3 : 1/2
= 2/9 x 3/2 x 2
= 3 x 2
= 6
2/5 x 1/2 : 1/3
= 2/10 : 1/3
= 2/10 x 3
= 6/10
= 3/5
\(\dfrac{4}{5}-\dfrac{2}{5}\times\dfrac{1}{4}=\dfrac{4}{5}-\dfrac{1}{10}=\dfrac{8}{10}-\dfrac{1}{10}=\dfrac{7}{10}\)
\(\dfrac{1}{4}+\dfrac{3}{4}:\dfrac{1}{8}=\dfrac{1}{4}+\dfrac{3}{4}\times8=\dfrac{1}{4}+6=\dfrac{1}{4}+\dfrac{24}{4}=\dfrac{25}{4}\)
\(\)\(\dfrac{11}{10}-\dfrac{2}{5}:\dfrac{1}{3}=\dfrac{11}{10}-\dfrac{2}{5}\times3=\dfrac{11}{10}-\dfrac{6}{5}=\dfrac{11}{10}-\dfrac{12}{10}=-\dfrac{1}{10}\)
4/5-2/5.1/4
=4/5-1/10
=8/10-1/10
=7/10
1/4+3/4:1/8
=1/4+3/4.8
=1/4+6
=1/4+24/4
=25/4
11/10-2/5:1/3
=11/10-2/5.3
=11/10-6/5
=11/10-12/10
=-1/10
\(M=\frac{1}{2}:\left(\frac{1}{3}:\frac{1}{4}:\frac{1}{5}\times\frac{1}{120}\right)=2008\)
\(M=\frac{1}{2}:\left(\frac{1}{3}\times\frac{4}{1}\times\frac{5}{1}\times\frac{1}{120}\right)=2008\)
\(M=\frac{1}{2}:\left(\frac{4}{3}\times\frac{1}{1}\times\frac{1}{24}\right)=2008\)
\(M=\frac{1}{2}:\left(\frac{4}{3}\times\frac{1}{24}\right)=2008\)
\(M=\frac{1}{2}:\left(\frac{1}{3}\times\frac{1}{6}\right)=2008\)
\(M=\frac{1}{2}:\frac{1}{18}=2008\)
\(M=\frac{1}{2}\times\frac{18}{1}=2008\)
\(M=\frac{18}{2}=2008\)
\(M=9=2008\)
\(x-\dfrac{11}{15}=3+\dfrac{x}{5}\\ \Leftrightarrow\dfrac{4}{5}x=\dfrac{56}{15}\\ \Leftrightarrow x=\dfrac{14}{3}\)
\(\dfrac{2}{5}\times\dfrac{1}{x}+\dfrac{1}{x}\times2+\dfrac{2}{5}=\dfrac{1}{2}\\ \Leftrightarrow\dfrac{12}{5}\times\dfrac{1}{x}=\dfrac{1}{10}\\ \Leftrightarrow\dfrac{1}{x}=\dfrac{1}{24}\\ \Leftrightarrow x=24\)
`5/39xx(7 4/5xx1 2/3+8 1/3xx7 4/5)`
`=5/39xx(39/5xx5/3+25/3xx39/5)`
`=5/39xx39/5(5/3+25/3)`
`=1xx30/3`
`=10`
\(\frac{2}{5}\times\frac{1}{2}\div\frac{1}{3}\)
\(=\frac{2}{5}\times\frac{1}{2}\times\frac{3}{1}\)
\(=\frac{2\times1\times3}{5\times2\times1}\)
\(=\frac{3}{5}\)
25×12÷1325×12÷13
=25×12×31=25×12×31
=2×1×35×2×1=2×1×35×2×1
=35