Question

So sánh : a) \(\dfrac{471}{940}\)và\(\dfrac{472}{944}\)

b) \(\dfrac{424242}{535353}\)và\(\dfrac{474747}{585858}\)

Answer 1

\(a,\dfrac{471}{940}\) và \(\dfrac{472}{944}\)

= \(\dfrac{471:1}{940:1}=\dfrac{471}{940}\) và \(\dfrac{472:472}{940:472}=\dfrac{1}{2}=\dfrac{470}{940}\)

Vì : \(\dfrac{471}{940}>\dfrac{470}{940}\) nên => \(\dfrac{471}{940}>\dfrac{472}{944}\)

b, \(\dfrac{424242}{535353}\) và \(\dfrac{474747}{585858}\)

= \(\dfrac{424242:10101}{535353:10101}=\dfrac{42}{53}\) và \(\dfrac{474747:10101}{585858:10101}=\dfrac{47}{58}\)

\(\dfrac{42.58}{53.58}=\dfrac{2436}{3074}\) và \(\dfrac{47.53}{58.53}=\dfrac{2491}{3074}\)

Vì : \(\dfrac{2436}{3074}\) < \(\dfrac{2491}{3074}\) nên => \(\dfrac{424242}{535353}< \dfrac{474747}{585858}\)