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a) \(x+4\frac{1}{5}=5\frac{2}{3}\times10\frac{1}{2}\)
\(x+\frac{21}{5}=\frac{17}{3}\times\frac{21}{2}\)
\(x+\frac{21}{5}=\frac{119}{2}\)
\(x=\frac{119}{2}-\frac{21}{5}\)
\(x=\frac{553}{10}\)
b) \(\frac{24}{5}-x=2\frac{1}{4}:1\frac{3}{4}\)
\(\frac{24}{5}-x=\frac{9}{4}:\frac{7}{4}\)
\(\frac{24}{5}-x=\frac{9}{4}.\frac{4}{7}\)
\(\frac{24}{5}-x=\frac{9}{7}\)
\(x=\frac{24}{5}-\frac{9}{7}\)
\(x=\frac{123}{35}\)
Tim x:
x X 12 + x X 14 + x X 18 = \(\frac{21}{24}\)
x X (\(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}\)) = \(\frac{21}{24}\)
x X (\(\frac{4}{8}+\frac{2}{8}+\frac{1}{8}\)) = \(\frac{21}{24}\)
x X \(\frac{9}{8}\)= \(\frac{21}{24}\)
x = \(\frac{21}{24}\): \(\frac{9}{8}\)
x = \(\frac{21}{24}\)X \(\frac{8}{9}\)
x = \(\frac{7}{9}\)
\(x\times\frac{1}{2}+x\times\frac{1}{4}+x\times\frac{1}{8}=\frac{21}{24}\)
\(\Rightarrow x\times\left[\frac{1}{2}+\frac{1}{4}+\frac{1}{8}\right]=\frac{21}{24}\)
\(\Rightarrow x\times\left[\frac{4+2+1}{8}\right]=\frac{21}{24}\)
\(\Rightarrow x\times\frac{7}{8}=\frac{21}{24}\)
\(\Rightarrow x\times\frac{7}{8}=\frac{7}{8}\)
\(\Rightarrow x=\frac{7}{8}:\frac{7}{8}=1\)
1-[x(1/5+1)-2/3]=x-75
1-6/5x+2/3=x-75
1+2/3+75=x+6/5x
230/3=11/5x
x=230/3:11/5=1150/33
\(a.\) \(25,4-\frac{1}{4}\div x+1250\%=37,5\)
\(25,4-0.25\div x+12,5=37,5\)
\(25,4-0,25\div x=37,5-12,5\)
\(25,4-0,25\div x=25\)
\(0,25\div x=25,4-25\)
\(0,25\div x=0,4\)
\(x=0,25\div0,4\)
\(x=0,625\)
\(b.\)\(3\frac{1}{8}\div\left(\frac{2}{5}-x\right)\times\frac{8}{25}=3\)
\(\frac{3\times8+1}{8}\div\left(\frac{2}{5}-x\right)=3\div\frac{8}{25}\)
\(\frac{25}{8}\div\left(\frac{2}{5}-x\right)=\frac{75}{8}\)
\(\frac{2}{5}-x=\frac{25}{8}\div\frac{75}{8}\)
\(\frac{2}{5}-x=\frac{25}{8}\times\frac{8}{75}\)
\(\frac{2}{5}-x=\frac{1}{3}\)
\(x=\frac{2}{5}-\frac{1}{3}=\frac{6}{15}-\frac{5}{15}\)
\(x=\frac{1}{15}\)
a)25,4-\(\frac{1}{4}\): x +1250%=37,5
25,4 - 0,25 : x + 12,5 = 37,5
25,4 - 0,25 : x =37,5 -12,5
25,4 - 0,25 : x = 25
0,25 : x = 25,4 -25
0,25 : x = 0,4
x = 0,25;0,4
x = 0,625
b) \(3\frac{1}{8}:\left(\frac{2}{5}-x\right)\times\frac{8}{25}=3\)
\(3,125:\left(0,4-x\right)\times0,32=3\)
\(3,125:\left(0,4-x\right)=3:0,32\)
\(3,125:\left(0,4-x\right)=9,375\)
\(0,4-x=3,125:9,375\)
\(0,4-x=\frac{1}{3}\)
\(x=0,4-\frac{1}{3}\)
\(x=\frac{1}{15}\)
a)\(=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}.\frac{4}{5}......\frac{99}{100}\)
\(=\frac{1.2.3.4.....99}{2.3.4.5.6.....100}\)
\(=\frac{1}{100}\)
b) Tương tự như câu a
\(x+3\frac{1}{2}+x=24\frac{1}{4}\)
\(x\times2+3,5=24,25\)
\(x\times2=24,25-3,5\)
\(x\times2=20,75\)
\(x=20,75:2\)
\(x=10,375\)
Vậy \(x=10,375\)
\(x+3\frac{1}{2}+x=24\frac{1}{4}\)
\(x.2+\frac{7}{2}=\frac{97}{4}\)
\(x.2=\frac{97}{4}-\frac{7}{2}\)
\(x.2=\frac{97}{4}-\frac{14}{4}\)
\(x.2=\frac{83}{4}\)
\(\Rightarrow x=\frac{83}{4}:2=\frac{83}{8}=10\frac{3}{8}\)
Vậy \(x=10\frac{3}{8}\)
Ủng hộ mk nha !!! ^_^