Question

[Nguyễn Ngô Ngọc Vân]

999/556 và 1000/577

so sánh

Answer 1

[sakura]

Ta có : 999/556 = 999 : 556

                        = 1,7967625....

1000/577 = 1000 : 577

               = 1,7331022....

Ta thấy : 1,7967625... > 1,7331022

Vậy : 999/556 > 1000/577

Answer 2

[The Lonely Cancer]

Ta có : \(\frac{999}{556}=1+\frac{443}{556}\)

           \(\frac{1000}{577}=1+\frac{423}{577}\)

Ta thấy : \(\frac{443\cdot577}{556\cdot577}=\frac{443}{556}\)

             \(\frac{423\cdot556}{577\cdot556}=\frac{423}{577}\)

Ta có : \(443\cdot577=443\cdot\left(556+21\right)=443\cdot556+443\cdot21\)

Ta thấy : \(423\cdot556\)< \(443.556+21\cdot556\)

=>\(\frac{423\cdot556}{577\cdot556}< \frac{443\cdot577}{556\cdot577}\)

=>\(\frac{1000}{577}< \frac{999}{556}\)

Vậy \(\frac{999}{556}>\frac{1000}{557}\)