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a.11/7.8/13+8/13.3/7+8/13
=8/13.(11/7+3/7+1)
=8/13.3
=24/13
b.5/7.8/13+8/13.9/7-8/13
=8/13.(5/7+9/7-1)
=8/13.1
=8/13
c.157.199-56.199-199
=199.(157-56-1)
=199.100
19900
\(\frac{18}{x-13}=\frac{3}{7}\Leftrightarrow18.7=\left(x-13\right).3\Rightarrow x-13=\frac{18.7}{3}=\frac{3.3.2.7}{3}=3.2.7=42\)
=> x - 13 = 42 => x = 42 + 13 = 55
Vậy x = 55
\(\frac{4}{7}\times\frac{8}{13}+\frac{8}{13}\times\frac{3}{7}\)
\(=\frac{8}{13}\times\left(\frac{4}{7}+\frac{3}{7}\right)\)
\(=\frac{8}{13}\times1\)
\(=\frac{8}{13}\)
P/s tham khảo nha
\(X:\dfrac{3}{9}=\dfrac{7}{8}\)
\(X=\dfrac{7}{8}\times\dfrac{3}{9}\)
\(X=\dfrac{21}{72}\)
\(\left(X-21\times13\right):11=30\)
\(X-273=330\)
\(X=603\)
`x:3/9=7/8`
`x=7/8xx3/9`
`x=7/24`
`-------------`
`(x-21xx13):11=30`
`(x-273):11=30`
`x-273=30xx11`
`x-273=330`
`x=330-273`
`x=57`
a.
x/y x 3/4 = 5/6 + 1/3
x/y x 3/4 = 7/6
x/y = 7/6 : 3/4
x/y = 14/9
b.
7/9 : x/y = 10/7 - 13/14
7/9 : x/y = 1/2
x/y = 7/9 : 1/2
x/y = 14/9
cho 1 k nha bn
1) Ta có: \(\left(\dfrac{3}{4}\cdot\dfrac{5}{97}+\dfrac{1}{9}\cdot\dfrac{13}{47}\right)\cdot\left(\dfrac{1}{5}-\dfrac{7}{25}\cdot\dfrac{5}{7}\right)\)
\(=\left(\dfrac{3}{4}\cdot\dfrac{5}{97}+\dfrac{1}{9}\cdot\dfrac{13}{47}\right)\cdot\left(\dfrac{1}{5}-\dfrac{1}{5}\right)\)
=0
2) Ta có: \(\dfrac{8}{17}\cdot\dfrac{4}{15}+\dfrac{8}{17}\cdot\dfrac{22}{15}-\dfrac{8}{15}\cdot\dfrac{9}{17}\)
\(=\dfrac{8}{17}\left(\dfrac{4}{15}+\dfrac{22}{15}-\dfrac{9}{15}\right)\)
\(=\dfrac{8}{17}\cdot\dfrac{15}{15}=\dfrac{8}{17}\)
3) Ta có: \(\dfrac{2021}{2}\cdot\dfrac{1}{3}+\dfrac{4042}{4}\cdot\dfrac{1}{5}+\dfrac{6063}{3}\cdot\dfrac{22}{15}\)
\(=\dfrac{2021}{2}\left(\dfrac{1}{3}+\dfrac{1}{5}\right)+2021\cdot\dfrac{22}{15}\)
\(=\dfrac{2021}{2}\cdot\dfrac{8}{15}+\dfrac{2021}{2}\cdot\dfrac{44}{15}\)
\(=\dfrac{2021}{2}\cdot\dfrac{52}{15}\)
\(=\dfrac{52546}{15}\)
4) Ta có: \(\dfrac{4}{7}\cdot\dfrac{2}{13}+\dfrac{8}{13}:\dfrac{7}{4}+\dfrac{4}{7}:\dfrac{13}{2}+\dfrac{4}{7}\cdot\dfrac{1}{13}\)
\(=\dfrac{4}{7}\left(\dfrac{2}{13}+\dfrac{8}{13}+\dfrac{2}{13}+\dfrac{1}{13}\right)\)
\(=\dfrac{4}{7}\)
\(\frac{8}{x}=13+\frac{3}{7}=\frac{94}{7}\)\(\Leftrightarrow x=\frac{7x8}{94}=\frac{56}{94}=\frac{28}{47}\)
\(\frac{8}{x}=\frac{3}{7}+13\)
\(\frac{8}{x}=\frac{94}{7}\)
\(x=8:\frac{94}{7}\)
\(x=\frac{28}{47}\)