3457/3452 < 6789/6784

\(\frac{3457}{3452}=\frac{3452+5}{3452}=1+\frac{5}{3452},\frac{6789}{6784}=\frac{6784+5}{6789}=1+\frac{5}{6789}\)

Ta có: \(3452< 6789\Leftrightarrow\frac{1}{3452}>\frac{1}{6789}\Leftrightarrow\frac{5}{3452}>\frac{5}{6789}\)

suy ra \(\frac{3457}{3452}>\frac{6789}{6784}\).

Trả lời :

Ta có:

3457/3452=1+ (5/3452)

6789/6784=1+(5/6784)

Vì 1=1 nên ta so sánh 5/3452 và 5/6784

Vì 5=5 , 3452<6784

Nên 5/3452>5/6784

Do đó: 1+(5/3452)>1+(5/6784)

hay 3457/3452>6789/6784

Ta thấy :

\(\frac{\text{3457}}{\text{3452}}=\frac{3452 + 5}{3452}=\text{1 + }\frac{\text{5}}{\text{3452}}\)

\(\frac{\text{6789}}{\text{6784}}=\frac{\text{6784}+\text{5}}{\text{6784}}=1+\frac{\text{5}}{\text{6784}}\)

\(\text{Vì}\frac{\text{5}}{\text{3452}}>\frac{\text{5}}{\text{6784}}\Rightarrow\text{1 +}\frac{\text{5}}{\text{3452}}>\text{1 +}\frac{\text{5}}{\text{6784}}\Rightarrow\frac{\text{3457}}{\text{3452}}>\frac{\text{6789}}{\text{6784}}\)

~~Học tốt~~

Giải :

Ta thấy :

\(\frac{\text{3457}}{\text{3452}}=\frac{3452+5}{3452}=\text{1 + }\frac{\text{5}}{\text{3452}}\)

\(\frac{\text{6789}}{\text{6784}}=\frac{\text{6784}+\text{5}}{\text{6784}}=1+\frac{\text{5}}{\text{6784}}\)

\(\text{Vì}\frac{\text{5}}{\text{3452}}>\frac{\text{5}}{\text{6784}}\Rightarrow\text{1 +}\frac{\text{5}}{\text{3452}}>\text{1 +}\frac{\text{5}}{\text{6784}}\Rightarrow\frac{\text{3457}}{\text{3452}}>\frac{\text{6789}}{\text{6784}}\)

\(\text{Ta thấy :}\)

\(\frac{\text{3457}}{\text{3452}}=\frac{3452+5}{3452}=\text{1 + }\frac{\text{5}}{\text{3452}}\)

\(\frac{\text{6789}}{\text{6784}}=\frac{\text{6784}+\text{5}}{\text{6784}}=1+\frac{\text{5}}{\text{6784}}\)

\(\text{Vì}\frac{\text{5}}{\text{3452}}>\frac{\text{5}}{\text{6784}}\Rightarrow\text{1 +}\frac{\text{5}}{\text{3452}}>\text{1 +}\frac{\text{5}}{\text{6784}}\Rightarrow\frac{\text{3457}}{\text{3452}}>\frac{\text{6789}}{\text{6784}}\)

\(\text{~~Học tốt~~}\)

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