QuestionSimplify the expression using the distributive property: $\frac{1}{6}\left(\frac{3}{5} x+18\right)$ .

Studdy Solution

STEP 1

Assumptions1. The expression given is $\frac{1}{6}\left(\frac{3}{5} x+18\right)$ . We need to use the distributive property to simplify this expression.

STEP 2

The distributive property states that for any real numbers a, b, and c, we have $a(b+c) = ab + ac$ . We can apply this property to the given expression.
$\frac{1}{6}\left(\frac{}{5} x+18\right) = \frac{1}{6} \cdot \frac{}{5} x + \frac{1}{6} \cdot18$

STEP 3

Now, we can simplify the expression by performing the multiplication.
$\frac{1}{6} \cdot \frac{3}{5} x = \frac{1 \cdot3}{6 \cdot5} x = \frac{3}{30} x = \frac{1}{10} x$ $\frac{1}{6} \cdot18 = \frac{18}{6} =3$

STEP 4

Substitute these simplified expressions back into the equation.
$\frac{1}{6}\left(\frac{3}{} x+18\right) = \frac{1}{10} x +3$ So, the simplified expression is $\frac{1}{10} x +3$ .

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