Pre-Algebra Examples

$- 8 u = \frac{- 4}{7}$

Step 1

Move the negative in front of the fraction.

$- 8 u = - \frac{4}{7}$

Step 2

Divide each term in $- 8 u = - \frac{4}{7}$ by $- 8$ and simplify.

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Step 2.1

Divide each term in $- 8 u = - \frac{4}{7}$ by $- 8$ .

$\frac{- 8 u}{- 8} = \frac{- \frac{4}{7}}{- 8}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 8$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 8 u}{- 8} = \frac{- \frac{4}{7}}{- 8}$

Step 2.2.1.2

Divide $u$ by $1$ .

$u = \frac{- \frac{4}{7}}{- 8}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Multiply the numerator by the reciprocal of the denominator.

$u = - \frac{4}{7} \cdot \frac{1}{- 8}$

Step 2.3.2

Cancel the common factor of $4$ .

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Step 2.3.2.1

Move the leading negative in $- \frac{4}{7}$ into the numerator.

$u = \frac{- 4}{7} \cdot \frac{1}{- 8}$

Step 2.3.2.2

Factor $4$ out of $- 4$ .

$u = \frac{4 (- 1)}{7} \cdot \frac{1}{- 8}$

Step 2.3.2.3

Factor $4$ out of $- 8$ .

$u = \frac{4 \cdot - 1}{7} \cdot \frac{1}{4 \cdot - 2}$

Step 2.3.2.4

Cancel the common factor.

$u = \frac{4 \cdot - 1}{7} \cdot \frac{1}{4 \cdot - 2}$

Step 2.3.2.5

Rewrite the expression.

$u = \frac{- 1}{7} \cdot \frac{1}{- 2}$

Step 2.3.3

Multiply $\frac{- 1}{7}$ by $\frac{1}{- 2}$ .

$u = \frac{- 1}{7 \cdot - 2}$

Step 2.3.4

Multiply $7$ by $- 2$ .

$u = \frac{- 1}{- 14}$

Step 2.3.5

Dividing two negative values results in a positive value.

$u = \frac{1}{14}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$u = \frac{1}{14}$

Decimal Form:

$u = 0.0\overline{714285}$