Pre-Algebra Examples

$- 3 y = \frac{6}{7}$

Step 1

Divide each term in $- 3 y = \frac{6}{7}$ by $- 3$ .

$\frac{- 3 y}{- 3} = \frac{\frac{6}{7}}{- 3}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $- 3$ .

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Step 2.1.1

Cancel the common factor.

$\frac{- 3 y}{- 3} = \frac{\frac{6}{7}}{- 3}$

Step 2.1.2

Divide $y$ by $1$ .

$y = \frac{\frac{6}{7}}{- 3}$

Step 3

Simplify the right side.

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Step 3.1

Multiply the numerator by the reciprocal of the denominator.

$y = \frac{6}{7} \cdot \frac{1}{- 3}$

Step 3.2

Cancel the common factor of $3$ .

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Step 3.2.1

Factor $3$ out of $6$ .

$y = \frac{3 (2)}{7} \cdot \frac{1}{- 3}$

Step 3.2.2

Factor $3$ out of $- 3$ .

$y = \frac{3 \cdot 2}{7} \cdot \frac{1}{3 \cdot - 1}$

Step 3.2.3

Cancel the common factor.

$y = \frac{3 \cdot 2}{7} \cdot \frac{1}{3 \cdot - 1}$

Step 3.2.4

Rewrite the expression.

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

Step 3.3

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

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

Step 3.4

Simplify the expression.

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Step 3.4.1

Multiply $7$ by $- 1$ .

$y = \frac{2}{- 7}$

Step 3.4.2

Move the negative in front of the fraction.

$y = - \frac{2}{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$y = - \frac{2}{7}$

Decimal Form:

$y = - 0.\overline{285714}$