Question

[Trần Nhật Anh]

so sánh hai phân số : 2/7 và 9/49 ; 3/8 và 4/72 ; 5/6 và 1/42 ; 5/12 và 7/36 ; 4/9 và 7/54

Answer 1

[✎﹏Kim Kim✧❤‿✶🌈(*•.¸♡ţęąɱ ƒŗęę ƒįŗę...]

2/7>9/49

3/8>4/72

5/6>1/42

5/12>7/36

4/9>7/54

Answer 2

[Lê Minh Vũ]

So sánh 2 phân số:

\(\dfrac{2}{7}\) và \(\dfrac{9}{49}\)

\(\dfrac{2}{7}=\dfrac{2\times49}{7\times49\text{​}}=\dfrac{98}{343}\)

\(\dfrac{9}{49}=\dfrac{9\times7}{49\times7}=\dfrac{63}{343}\)

Vì: 98 > 63

Nên: \(\dfrac{2}{7}>\dfrac{9}{49}\)

\(\dfrac{3}{8}\) và \(\dfrac{4}{72}\)

\(\dfrac{3}{8}=\dfrac{3\times72}{8\times72}=\dfrac{216}{576}\\ \dfrac{4}{72}=\dfrac{4\times8}{72\times8}=\dfrac{32}{576}\)

Vì: 216 > 32

Nên: \(\dfrac{3}{8}>\dfrac{4}{72}\)

\(\dfrac{5}{6}\) và \(\dfrac{1}{42}\)

\(\dfrac{5}{6}=\dfrac{5\times42}{6\times42}=\dfrac{210}{252}\\ \dfrac{1}{42}=\dfrac{1\times6}{42\times6}=\dfrac{6}{252}\)

Vì: \(210>6\)

Nên: \(\dfrac{5}{6}>\dfrac{1}{42}\)

\(\dfrac{5}{12}\)  và \(\dfrac{7}{36}\)

\(\dfrac{5}{12}=\dfrac{5\times36}{12\times36}=\dfrac{180}{432}\\ \dfrac{7}{36}=\dfrac{7\times12}{36\times12}=\dfrac{84}{432}\)

Vì: 180 > 84

Nên:  \(\dfrac{5}{12}>\dfrac{7}{36}\)

\(\dfrac{4}{9}\) và \(\dfrac{7}{54}\)

\(\dfrac{4}{9}=\dfrac{4\times54}{9\times54}=\dfrac{216}{486}\\ \dfrac{7}{54}=\dfrac{7\times9}{54\times9}=\dfrac{63}{486}\)

Vì: 216 > 63

Nên: \(\dfrac{4}{9}>\dfrac{7}{54}\)