Pre-Algebra Examples

$\frac{2}{17} \cdot (- \frac{34}{19}) \cdot \frac{1}{2}$

Step 1

Cancel the common factor of $17$ .

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Step 1.1

Move the leading negative in $- \frac{34}{19}$ into the numerator.

$\frac{2}{17} \cdot \frac{- 34}{19} \cdot \frac{1}{2}$

Step 1.2

Factor $17$ out of $- 34$ .

$\frac{2}{17} \cdot \frac{17 (- 2)}{19} \cdot \frac{1}{2}$

Step 1.3

Cancel the common factor.

$\frac{2}{17} \cdot \frac{17 \cdot - 2}{19} \cdot \frac{1}{2}$

Step 1.4

Rewrite the expression.

$2 \cdot \frac{- 2}{19} \cdot \frac{1}{2}$

Step 2

Combine $2$ and $\frac{- 2}{19}$ .

$\frac{2 \cdot - 2}{19} \cdot \frac{1}{2}$

Step 3

Multiply $2$ by $- 2$ .

$\frac{- 4}{19} \cdot \frac{1}{2}$

Step 4

Cancel the common factor of $2$ .

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Step 4.1

Factor $2$ out of $- 4$ .

$\frac{2 (- 2)}{19} \cdot \frac{1}{2}$

Step 4.2

Cancel the common factor.

$\frac{2 \cdot - 2}{19} \cdot \frac{1}{2}$

Step 4.3

Rewrite the expression.

$\frac{- 2}{19}$

Step 5

Move the negative in front of the fraction.

$- \frac{2}{19}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{2}{19}$

Decimal Form:

$- 0.10526315 \dots$