Basic Math Examples

$3 w = - \frac{15}{7}$

Step 1

Divide each term in $3 w = - \frac{15}{7}$ by $3$ .

$\frac{3 w}{3} = \frac{- \frac{15}{7}}{3}$

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.

$\frac{3 w}{3} = \frac{- \frac{15}{7}}{3}$

Step 2.1.2

Divide $w$ by $1$ .

$w = \frac{- \frac{15}{7}}{3}$

Step 3

Simplify the right side.

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Step 3.1

Multiply the numerator by the reciprocal of the denominator.

$w = - \frac{15}{7} \cdot \frac{1}{3}$

Step 3.2

Cancel the common factor of $3$ .

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Step 3.2.1

Move the leading negative in $- \frac{15}{7}$ into the numerator.

$w = \frac{- 15}{7} \cdot \frac{1}{3}$

Step 3.2.2

Factor $3$ out of $- 15$ .

$w = \frac{3 (- 5)}{7} \cdot \frac{1}{3}$

Step 3.2.3

Cancel the common factor.

$w = \frac{3 \cdot - 5}{7} \cdot \frac{1}{3}$

Step 3.2.4

Rewrite the expression.

$w = \frac{- 5}{7}$

Step 3.3

Move the negative in front of the fraction.

$w = - \frac{5}{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$w = - \frac{5}{7}$

Decimal Form:

$w = - 0.\overline{714285}$