Write the following comparison as a ratio reduced to lowest terms. 34 nickels to 10 dimes

Step 1 ：Write the following comparison as a ratio reduced to lowest terms: 34 nickels to 10 dimes.

Step 2 ：To solve this problem, we need to convert the nickels and dimes to their monetary value in cents. A nickel is worth 5 cents and a dime is worth 10 cents.

Step 3 ：Then, we can write the ratio of their values and reduce it to lowest terms.

Step 4 ：Calculate the value of nickels: \(34 \times 5 = 170\) cents.

Step 5 ：Calculate the value of dimes: \(10 \times 10 = 100\) cents.

Step 6 ：Calculate the greatest common divisor (gcd) of the values of nickels and dimes, and then use it to reduce the ratio to its lowest terms.

Step 7 ：The ratio of 170 to 100, reduced to lowest terms, is \(17:10\).

Step 8 ：\(\boxed{17:10}\) is the final answer.