Explanation:
To convert 5 1/5 decimeters to centimeters, we need to multiply the value by 10.
1 decimeter is equal to 10 centimeters, so 5 1/5 decimeters would be:
5 1/5 decimeters * 10 centimeters/decimeter = (5 + 1/5) * 10 centimeters
To perform the calculation, we first convert the mixed number to an improper fraction:
5 1/5 = (5 * 5 + 1)/5 = 26/5
Now, we can multiply the fraction by 10:
(26/5) * 10 = 260/5 = 52
Therefore, 5 1/5 decimeters is equal to 52 centimeters.