A rate is a little bit different than the ratio, it is a special ratio. It is a comparison of measurements that have different units, like cents and grams. A unit rate is a rate with a denominator of 1.
Per is defined as to, for, by or according to. An example of per used as a preposition is in the phrase, "as per standards," which means by the standards
Division is splitting into equal parts or groups. It is the result of "fair sharing
The ratio of width to height is 5 to 8. Using this ratio, you can determine the lengths. 1. 5/8=10/x 5x=80 x=16in 2. 5/8=15/x 5x=120 x=24in 3. 5/8 = 8/x 5x=64 x=12.8in