Final answer:
Jane is 52 1/2 inches tall. This was determined by first finding Karina's height and then subtracting the difference in height between Jane and Karina from Karina's height.
Step-by-step explanation:
Susanna is 56 4/5 inches tall. To find out how tall Jane is, we need to subtract the heights that Karina and then Jane are shorter by from Susanna's height. First, we'll find out how tall Karina is.
Karina is 1 1/6 inches shorter than Susanna:
- Convert the mixed numbers to improper fractions to make it easier: Susanna's height is 284/5 inches and the height difference for Karina is 7/6 inches.
- Subtract the difference from Susanna's height: 284/5 - 7/6
After converting to a common denominator and subtracting, Karina's height is found to be 323/6 inches or 53 5/6 inches.
Now let's find out how tall Jane is:
- Jane is 1 1/3 inches shorter than Karina. The height difference for Jane is 4/3 inches.
- Subtracting this from Karina's height in inches: 323/6 - 4/3
After converting to a common denominator and subtracting, Jane's height is found to be 315/6 inches or 52 1/2 inches tall.