phân số\(\frac{213}{523}\)>\(\frac{21}{52}\)
21/52=21x523/52x523=1092/27196
Vì 11076/27196>1092/27196 => 21/52<213/523
213/523=213x52/523x52=11076/27196
sử dụng phép quy đồng để so sánh phân số:
\(\frac{21}{52}=\frac{213}{523}=\frac{21.523}{52.523}=\frac{11172}{27196}=\frac{2793}{6799}\)
\(\frac{213}{523}=\frac{21}{52}=\frac{213.52}{523.52}=\frac{11076}{13075}\)Mẫu số ghi nhầm:27196
So sánh 11172 vs 11076 thì:11172>11076
Vậy 21/52>213/523
Ta có:
\(\frac{21}{52}=\frac{210}{520}=1-\frac{310}{520}\)
\(\frac{213}{523}=1-\frac{310}{523}\)
Mà \(\frac{310}{520}>\frac{310}{523}\)
\(\Rightarrow\frac{21}{52}< \frac{213}{523}\)