Question

Tessa shot 36 free Throws.she made 27 of them.what fraction of the free throws did she make?

Answer 1

The correct answer is:

3/4.

Explanation:

27 out of 36 is written as 27/36. To simplify this, we divide numerator and denominator by common factors. Both are divisible by 9:

(27÷9)/(36÷9) = 3/4

Answer 2

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:

$\frac{x}{y} = \frac{3}{4}$