Respuesta :

Step-by-step explanation:

We have been given a ratio and we are asked to determine the correct classification and decimal expansion of our given ratio.  

We can represent our given ratio as a fraction as shown below:

[tex]5:8=\frac{5}{8}[/tex]

Upon dividing 5 by 8 we will get the decimal expansion of our given ratio as:

[tex]\frac{5}{8}=0.625[/tex]

Since the decimal expansion of our fraction terminates after 3 digits of decimal, so it is a rational number and its decimal expansion is 0.625.

The correct classification and decimal expansion of 5 : 8 is 0.625.

What is the decimal expansion?

A decimal is a number that is made up of integers and non-integers. The integers are separated from the non-integers by a decimal point. An example of a decimal is 0.5.

In order to convert 5:8 to a decimal, divide 5 by 8.

5/8 = 0.625