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98/25 = 3,92
36/16 = 2,25
18/4 = 4,5
26/5 = 5,2
k mình nhoa ! ~~~
a) \(2,\left(27\right)=\frac{227-2}{99}=\frac{225}{99}=\frac{25}{11}\)
b) \(3,1\left(5\right)=\frac{315-31}{90}=\frac{274}{90}=\frac{142}{45}\)
Ta có:
\(3,1\left(21\right)=3,1+0,0\left(21\right)=\frac{31}{10}+0,0\left(01\right).21=\frac{31}{10}+\frac{0,\left(01\right)}{10}.21=\frac{31}{10}+\frac{\frac{1}{99}}{10}.21\)
\(=\frac{31}{10}+\frac{21}{9900}=\frac{3069}{9900}+\frac{21}{9900}=\frac{3090}{9900}=\frac{103}{330}\)
\(0,1\left(73\right)=10.1,\left(73\right)=\frac{1}{10}.\left(1+0,\left(01\right).73\right)=\)\(\frac{1}{10}.\left(1+\frac{1}{99}.73\right)=\frac{1}{10}.\left(1+\frac{73}{99}\right)=\)\(\frac{1}{10}.\left(\frac{99}{99}+\frac{73}{99}\right)=\frac{1}{10}.\frac{172}{99}=\frac{172}{990}=\)\(\frac{86}{495}\)
\(1,\left(3\right)=1+0,\left(1\right).3=1+\frac{1}{9}.3=1+\frac{1}{3}=\frac{3}{3}+\frac{1}{3}=\frac{4}{3}\)
Dấu ''.'' là dấu nhân nhé bạn
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`@` `\text {Ans}`
`\downarrow`
`-3,1(5) = -142/45`
`4,2(18) = 232/45`
cảm ơn!