Question

So sánh các phân số sau bằng cách hợp lý

a) \(\frac{51}{85}\) và \(\frac{58}{145}\)

b) \(\frac{69}{-230}\) và \(\frac{-39}{143}\)

c)\(\frac{-7}{41}\) và\(\frac{13}{-47}\)

d)\(\frac{40}{49}\) và \(\frac{15}{21}\)

e) \(\frac{-25}{46}\) và \(\frac{-12}{18}\)

Answer 1

\(a)\) Ta có : 

\(\frac{51}{85}=\frac{3}{5}\)

\(\frac{58}{145}=\frac{2}{5}\)

Vì \(\frac{3}{5}>\frac{2}{5}\) nên \(\frac{51}{85}>\frac{58}{145}\)

Vậy \(\frac{51}{85}>\frac{58}{145}\)

\(b)\) Ta có : 

\(\frac{69}{-230}=\frac{-3}{10}\)

\(\frac{-39}{143}=\frac{-3}{11}\)

Vì \(\frac{-3}{10}< \frac{-3}{11}\) nên \(\frac{69}{-230}< \frac{-39}{143}\)

Vậy \(\frac{69}{-230}< \frac{-39}{143}\)

\(c)\) Ta có : 

\(1+\frac{-7}{41}=\frac{34}{41}\)

\(1+\frac{13}{-47}=\frac{34}{47}\)

Vì \(\frac{34}{41}>\frac{34}{47}\) nên \(1+\frac{-7}{41}>1+\frac{13}{-47}\) hay \(\frac{-7}{41}>\frac{13}{-47}\)

Vậy \(\frac{-7}{41}>\frac{13}{-47}\)

\(d)\) Ta có : 

\(1-\frac{40}{49}=\frac{9}{49}\)

\(\frac{15}{21}=\frac{5}{7}=\frac{35}{49}< \frac{40}{49}\)

Vậy \(\frac{40}{49}>\frac{15}{21}\)