Chứng minh rằng:
\(\frac{27}{31}=\frac{2727}{3131}=\frac{272727}{313131}\)
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\(\dfrac{2727}{3131}=\dfrac{27.101}{31.101}=\dfrac{27}{31}\)
⇒\(\dfrac{27}{31}=\dfrac{2727}{3131}\)
\(\dfrac{27}{31}=\dfrac{27\times101}{31\times101}=\dfrac{2727}{3131}\)
\(\frac{27}{31}=\frac{27x10101}{31x10101}=\frac{272727}{313131}\)
`#3107.101107`
`a)`
Ta có:
\(\dfrac{2727}{3131}=\dfrac{2727\div27}{3131\div31}=\dfrac{27}{31}\)
Vì \(\dfrac{27}{31}=\dfrac{27}{31}\)
\(\Rightarrow\dfrac{27}{31}=\dfrac{2727}{3131}\)
`b)`
Ta có:
\(\dfrac{11}{31}=1-\dfrac{20}{31}=1-\dfrac{200}{310}\)
\(\dfrac{111}{311}=1-\dfrac{200}{311}\)
Vì \(\dfrac{200}{310}>\dfrac{200}{311}\)
\(\Rightarrow1-\dfrac{200}{310}< 1-\dfrac{200}{311}\)
\(\Rightarrow\dfrac{11}{31}< \dfrac{111}{311}.\)
\(a,\dfrac{2727}{3131}=\dfrac{2727:101}{3131:101}=\dfrac{27}{31}\\ Vậy:\dfrac{27}{31}=\dfrac{2727}{3131}\)
\(\frac{27}{31}=\frac{2727}{3131}=\frac{272727}{313131}\)
\(\frac{27}{31}=\frac{27.101}{31.101}=\frac{27.10101}{31.10101}\)
\(\frac{27}{31}=\frac{27}{31}=\frac{27}{31}\)
\(\Rightarrow\frac{27}{31}=\frac{2727}{3131}=\frac{272727}{313131}\)
\(\frac{27}{31}=\frac{2727}{3131}=\frac{272727}{313131}\)
\(\frac{27}{31}=\frac{27\cdot101}{31\cdot101}=\frac{27\cdot10101}{31\cdot10101}\)
\(\Rightarrow\frac{27}{31}=\frac{2727}{3131}=\frac{272727}{313131}\)