For this case we have the following variables:
x: number of free throws that Tessa made
y: total number of free throws
We now write the relationship of free throws.
We have then:
\(\frac{x}{y} = \frac{27}{36}\)
Simplifying the expression we have:
\(\frac{x}{y} = \frac{\frac{27}{3}}{\frac{36}{3}} = \frac{9}{12}\)
\(\frac{x}{y} = \frac{\frac{9}{3}}{\frac{12}{3}} = \frac{3}{4}\)
Answer:
The fraction of the free throws that she made is:
\(\frac{x}{y} = \frac{3}{4}\)