Question

So sánh bằng cách nhanh nhất : a. \(\frac{167}{168}\)và \(\frac{176}{177}\)

b. \(\frac{169}{168}\)và \(\frac{178}{177}\)

Answer 1

\(a,\)Ta có:

\(1-\frac{167}{168}=\frac{1}{168}\)

\(1-\frac{176}{177}=\frac{1}{177}\)

Vì \(\frac{1}{168}>\frac{1}{177}\)

\(\Rightarrow\frac{167}{168}< \frac{176}{177}\)

Answer 2

A. 167/168 < 176/177

B. 169/168 < 178/177

Answer 3

a. Ta có: \(\frac{167}{168}=1-\frac{1}{168}\); \(\frac{176}{177}=1-\frac{1}{177}\)

Vì 168<177 \(\Rightarrow\frac{1}{168}\)>\(\frac{1}{177}\)

                    \(\Rightarrow1-\frac{1}{168}\)< \(1-\frac{1}{177}\)

                     \(\Rightarrow\frac{167}{168}\)< \(\frac{176}{177}\)

b. Ta có: \(\frac{169}{168}=1+\frac{1}{168}\); \(\frac{178}{177}=1+\frac{1}{177}\)

Vì 168 < 177 \(\Rightarrow\frac{1}{168}\)> \(\frac{1}{177}\)

                       \(\Rightarrow1+\frac{1}{168}\)> \(1+\frac{1}{177}\)

                        \(\Rightarrow\frac{169}{168}\)> \(\frac{178}{177}\)

Nhớ k nè.

Answer 4

a, 167/168 > 176/177

b, 169/168 < 178/177