Question

Viết các số hữu tỉ sau dưới dạng phân số:

0,5 ; 1,(45) ; 0,2(13) ; 0,04(3)

Answer 1

\(0,5=\dfrac{1}{2}\)

\(1,\left(45\right)=\dfrac{16}{11}\)

\(0,2\left(13\right)=\dfrac{211}{990}\)

\(0,04\left(3\right)=\dfrac{13}{300}\)

Answer 2

Ta có:

\(0,5=\dfrac{1}{2}\)

\(1,\left(45\right)=1+0,\left(45\right)=1+45.0,\left(01\right)\)

\(=1+45.\dfrac{1}{99}=\dfrac{16}{11}\)

\(0,2\left(13\right)=0,2+0,0\left(13\right)=0,2+0,\left(13\right):10\)

\(=0,2+0,\left(01\right).13:10=0,2+\dfrac{1}{99}.13:10=\dfrac{211}{990}\)

\(0,04\left(3\right)=0,04+0,00\left(3\right)\)

\(=0,04+0,\left(3\right):100=0,04+0,\left(1\right).3:100\)

\(=0,04+\dfrac{1}{9}.3:100=\dfrac{13}{300}\)

Chúc bạn học tốt!!!

Answer 3

\(0,5=\dfrac{1}{2}\)

\(1,\left(45\right)=1+0,\left(45\right)=1+45.0,\left(01\right)\)

\(=1+45.\dfrac{1}{99}=\dfrac{16}{11}\)

\(0,2\left(13\right)=0,2+0,0\left(13\right)=0,2+0,\left(13\right):10\)

\(=0,2+0,\left(01\right).13:10=0,2+\dfrac{1}{99}.13:10=\dfrac{211}{990}\)

\(0,04\left(3\right)=0,04+0,00\left(3\right)\)

\(=0,04+0,\left(3\right):100=0,04+0,\left(1\right).3:100\)

\(=0,04+\dfrac{1}{9}.3:100=\dfrac{13}{300}\)

Answer 4

0,5=1/2

1,(45) =16/11

0,2 (13) = 211/990

0,004(3) =13/300

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