we are asked to organize the given expression:
[tex]5.23,\text{ }6\text{ 1/4, }\frac{53}{10},5.208[/tex]To do that we will first rewrite the expressions in decimal notation:
For 6 1/4:
[tex]6+\frac{1}{4}=\frac{25}{4}=6.25[/tex]For 53/10:
[tex]\frac{53}{10}=5.3[/tex]therefore, the right order is:
[tex]5.208<5.23<5.3<6.25[/tex]Rewritten in the original notation is:
[tex]5.208<5.23<\frac{53}{10}<6\text{ 1/4}[/tex]