\(7\dfrac{4}{15}=\dfrac{109}{15};6\dfrac{1}{2}=\dfrac{13}{2}\)
Quy đồng: MCNN: 30
\(\dfrac{109}{15}=\dfrac{218}{30};\dfrac{13}{2}=\dfrac{195}{30}\)
Vì: 218 > 195 nên \(\dfrac{218}{30}>\dfrac{195}{30}\)
Vậy \(7\dfrac{4}{15}>6\dfrac{1}{2}\).
`7 4/15 > 7`
`6 1/2 < 7`
`-> 7 4/15 > 6 1/2`
\(7\dfrac{4}{15}\) và \(6\dfrac{1}{2}\) = \(\dfrac{109}{15}\) và \(\dfrac{13}{2}\) = \(\dfrac{218}{30}\) và \(\dfrac{195}{30}\) = \(\dfrac{218}{30}\) > \(\dfrac{195}{30}\) nên \(\dfrac{109}{15}\) > \(\dfrac{13}{2}\)
So sánh \(7\dfrac{4}{15}\) và \(6\dfrac{1}{2}\)
\(7\dfrac{4}{15}=\dfrac{74}{15}; 6\dfrac{1}{2}=\dfrac{61}{2}\)
\(\dfrac{74}{15}=\dfrac{74\times2}{15\times2}=\dfrac{148}{30}\) ; \(\dfrac{61}{2}=\dfrac{61\times15}{2\times15}=\dfrac{915}{30}\)
Do \(\dfrac{148}{30}< \dfrac{915}{30}\) nên \(7\dfrac{4}{15}< 6\dfrac{1}{2}\)