We have the following:
We must convert the dimes into nickels, like this
[tex]36\text{ dimes }\cdot\frac{2\text{ nickels}}{1\text{ dime}}=72\text{ nickels}[/tex]Therefore, the ratio is:
[tex]\frac{42}{72}=\frac{6\cdot7}{6\cdot12}=\frac{7}{12}[/tex]The answer is 7/12