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4 + \(\frac{3}{13}=\frac{4}{1}\)+ \(\frac{3}{13}=\frac{55}{13}\)
\(4+\frac{3}{13}=\frac{4}{1}+\frac{3}{13}=\frac{52}{13}+\frac{3}{13}=\frac{55}{13}\)
HT
=>3/6+4/6<x<16/4-5/4 K NHA MOI NGUOI
=>7/6<x<11/4
=>28/24<x<66/24
=>x=48/24=2
A = 1/5 + 1/10 + 1/20 + 1/40 + ..... + 1/1280
A x 2 = 2/5 - ( 1 /5 + 1/10 + 1/20 + 1/40 + ... + 1/1280 ) - 1/1280
A x 2 = 2/5 - A - 1/1280
A x 2 - A = 2/5 - 1/1280
A = 2/5 - 1/1280
A = 511/1280
A = 1/5 + 1/10 + 1/20 + 1/40 + ..... + 1/1280
A x 2 = 2/5 - ( 1 /5 + 1/10 + 1/20 + 1/40 + ... + 1/1280 ) - 1/1280
A x 2 = 2/5 - A - 1/1280
A x 2 - A = 2/5 - 1/1280
A = 2/5 - 1/1280
A = 511/1280
\(\frac{2}{4}+\frac{1}{4}=\frac{3}{4}\)\(\\ \frac{1}{3}+\frac{2}{3}=1\)\(\frac{9}{10}+\frac{1}{10}=1\)
\(\Rightarrow x\times\left(\frac{1}{2}+\frac{3}{2}\right)=\frac{4}{5}\)
\(\Rightarrow x\times\frac{4}{2}=\frac{4}{5}\)
\(\Rightarrow x\times2=\frac{4}{5}\)
\(\Rightarrow x=\frac{4}{5}\div2\)
\(\Rightarrow x=\frac{4}{5}\times\frac{1}{2}\)
\(\Rightarrow x=\frac{2}{5}\)
\(x\times\frac{1}{2}+\frac{3}{2}\times x=\frac{4}{5}\)
\(x\times\left(\frac{1}{2}+\frac{3}{2}\right)=\frac{4}{5}\)
\(x\times2=\frac{4}{5}\)
\(x=\frac{4}{5}:2\)
\(x=\frac{2}{5}\)
3636/4545+x=4848/1515
x=4848/1515-3636/4545
x=14544/4545-3636/4545
x=10908/4545
3535/5050-x=8/25
x=3535/5050-1616/5050
x=1919/5050
ta có \(\frac{3}{7}=\frac{3\times3}{7\times3}=\frac{9}{21}\)(quy đồng tử)
So sánh \(\frac{9}{21}\)và \(\frac{9}{17}\)ta có:
\(21>17\Rightarrow\frac{9}{17}>\frac{9}{21}\Rightarrow\frac{9}{17}>\frac{3}{7}\)
VẬY: \(\frac{9}{17}>\frac{3}{7}\)
\(x-\frac{1}{3}=\frac{9}{20}\)
\(x=\frac{9}{20}+\frac{1}{3}\)
\(x=\frac{9\times3+1\times20}{60}\)
\(x=\frac{47}{60}\)
47/60