Pre-Algebra Examples

$\frac{23}{3} \cdot (- \frac{3}{22})$

Step 1

Cancel the common factor of $3$ .

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Step 1.1

Move the leading negative in $- \frac{3}{22}$ into the numerator.

$\frac{23}{3} \cdot \frac{- 3}{22}$

Step 1.2

Factor $3$ out of $- 3$ .

$\frac{23}{3} \cdot \frac{3 (- 1)}{22}$

Step 1.3

Cancel the common factor.

$\frac{23}{3} \cdot \frac{3 \cdot - 1}{22}$

Step 1.4

Rewrite the expression.

$23 \cdot \frac{- 1}{22}$

Step 2

Combine $23$ and $\frac{- 1}{22}$ .

$\frac{23 \cdot - 1}{22}$

Step 3

Simplify the expression.

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Step 3.1

Multiply $23$ by $- 1$ .

$\frac{- 23}{22}$

Step 3.2

Move the negative in front of the fraction.

$- \frac{23}{22}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{23}{22}$

Decimal Form:

$- 1.0\overline{45}$

Mixed Number Form:

$- 1 \frac{1}{22}$