Write the ratios as fractions
[tex]\begin{gathered} 7\colon10\Longrightarrow\frac{7}{10} \\ 3\colon5\Longrightarrow\frac{3}{5} \end{gathered}[/tex]Convert 3/5 into same denominator with 7/10
[tex]\begin{gathered} \frac{3}{5}\cdot\frac{2}{2}=\frac{6}{10} \\ \\ \text{Now compare} \\ \frac{7}{10}\questeq\frac{6}{10} \\ \\ \text{The numerator is greater in }\frac{7}{10},\text{ therefore} \\ \\ \frac{7}{10}>\frac{6}{10} \\ \\ \frac{7}{10}>\frac{3}{5}\text{ (final answer)} \end{gathered}[/tex]