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Evaluate 8/9(-3/32)

$\frac{8}{9} (- \frac{3}{32})$

Step 1

Cancel the common factor of $8$ .

Move the leading negative in $- \frac{3}{32}$ into the numerator.

$\frac{8}{9} \cdot \frac{- 3}{32}$

Factor $8$ out of $32$ .

$\frac{8}{9} \cdot \frac{- 3}{8 (4)}$

Cancel the common factor.

$\frac{8}{9} \cdot \frac{- 3}{8 \cdot 4}$

Rewrite the expression.

$\frac{1}{9} \cdot \frac{- 3}{4}$

$\frac{1}{9} \cdot \frac{- 3}{4}$

Step 2

Cancel the common factor of $3$ .

Factor $3$ out of $9$ .

$\frac{1}{3 (3)} \cdot \frac{- 3}{4}$

Factor $3$ out of $- 3$ .

$\frac{1}{3 \cdot 3} \cdot \frac{3 \cdot - 1}{4}$

Cancel the common factor.

$\frac{1}{3 \cdot 3} \cdot \frac{3 \cdot - 1}{4}$

Rewrite the expression.

$\frac{1}{3} \cdot \frac{- 1}{4}$

$\frac{1}{3} \cdot \frac{- 1}{4}$

Step 3

Multiply $\frac{1}{3}$ by $\frac{- 1}{4}$ .

$\frac{- 1}{3 \cdot 4}$

Step 4

Simplify the expression.

Multiply $3$ by $4$ .

$\frac{- 1}{12}$

Move the negative in front of the fraction.

$- \frac{1}{12}$

$- \frac{1}{12}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{12}$

Decimal Form:

$- 0.08\overline{3}$

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