Lời giải:
$A=1+\frac{10}{1+100}=1+\frac{10}{101}=\frac{101+10}{101}=\frac{111}{101}$
`A=`\(1+\dfrac{10}{1+\dfrac{10}{1x\dfrac{1}{10}}}\)
`=>A=`\(1+\dfrac{10}{1+\dfrac{10}{\dfrac{1}{10}}}\)
`=>A=`\(1+\dfrac{10}{1+100}\)
`=>A=`\(1+\dfrac{10}{101}\)
`=>A=`\(\dfrac{111}{101}\)