QuestionSimplify the expression: $\frac{\frac{x}{3}-1}{x-3}$ .

Studdy Solution

STEP 1

Assumptions1. We are given the expression $\frac{\frac{x}{3}-1}{x-3}$ . . We need to simplify this expression.

STEP 2

To simplify this expression, we first need to get rid of the fraction in the numerator. We can do this by multiplying the numerator and denominator by.
$\frac{\frac{x}{}-1}{x-} = \frac{(\frac{x}{}-1)}{(x-)}$

STEP 3

Now, distribute the3 in the numerator.
$\frac{3(\frac{x}{3}-1)}{3(x-3)} = \frac{x-3}{3(x-3)}$

STEP 4

We can see that the term $(x-3)$ is common in both the numerator and the denominator. We can simplify the expression by canceling this term.
$\frac{x-3}{3(x-3)} = \frac{1}{3}$ So, the simplified form of the given expression is $\frac{1}{3}$ .

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