Basic Math Examples

- 9 = \frac{3}{v}

$- 9 = \frac{3}{v}$

Step 1

Rewrite the equation as

\frac{3}{v} = - 9

$\frac{3}{v} = - 9$ .

\frac{3}{v} = - 9

$\frac{3}{v} = - 9$

Step 2

Find the LCD of the terms in the equation.

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Step 2.1

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

v, 1

$v, 1$

Step 2.2

The LCM of one and any expression is the expression.

v

$v$

v

$v$

Step 3

Multiply each term in

\frac{3}{v} = - 9

$\frac{3}{v} = - 9$ by

v

$v$ to eliminate the fractions.

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Step 3.1

Multiply each term in

\frac{3}{v} = - 9

$\frac{3}{v} = - 9$ by

v

$v$ .

\frac{3}{v} v = - 9 v

$\frac{3}{v} v = - 9 v$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of

v

$v$ .

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Step 3.2.1.1

Cancel the common factor.

\frac{3}{v} v = - 9 v

$\frac{3}{v} v = - 9 v$

Step 3.2.1.2

Rewrite the expression.

3 = - 9 v

$3 = - 9 v$

3 = - 9 v

$3 = - 9 v$

3 = - 9 v

$3 = - 9 v$

3 = - 9 v

$3 = - 9 v$

Step 4

Solve the equation.

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Step 4.1

Rewrite the equation as

- 9 v = 3

$- 9 v = 3$ .

- 9 v = 3

$- 9 v = 3$

Step 4.2

Divide each term in

- 9 v = 3

$- 9 v = 3$ by

- 9

$- 9$ and simplify.

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Step 4.2.1

Divide each term in

- 9 v = 3

$- 9 v = 3$ by

- 9

$- 9$ .

\frac{- 9 v}{- 9} = \frac{3}{- 9}

$\frac{- 9 v}{- 9} = \frac{3}{- 9}$

Step 4.2.2

Simplify the left side.

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Step 4.2.2.1

Cancel the common factor of

- 9

$- 9$ .

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Step 4.2.2.1.1

Cancel the common factor.

\frac{- 9 v}{- 9} = \frac{3}{- 9}

$\frac{- 9 v}{- 9} = \frac{3}{- 9}$

Step 4.2.2.1.2

Divide

v

$v$ by

1

$1$ .

v = \frac{3}{- 9}

$v = \frac{3}{- 9}$

v = \frac{3}{- 9}

$v = \frac{3}{- 9}$

v = \frac{3}{- 9}

$v = \frac{3}{- 9}$

Step 4.2.3

Simplify the right side.

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Step 4.2.3.1

Cancel the common factor of

3

$3$ and

- 9

$- 9$ .

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Step 4.2.3.1.1

Factor

3

$3$ out of

3

$3$ .

v = \frac{3 (1)}{- 9}

$v = \frac{3 (1)}{- 9}$

Step 4.2.3.1.2

Cancel the common factors.

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Step 4.2.3.1.2.1

Factor

3

$3$ out of

- 9

$- 9$ .

v = \frac{3 \cdot 1}{3 \cdot - 3}

$v = \frac{3 \cdot 1}{3 \cdot - 3}$

Step 4.2.3.1.2.2

Cancel the common factor.

v = \frac{3 \cdot 1}{3 \cdot - 3}

$v = \frac{3 \cdot 1}{3 \cdot - 3}$

Step 4.2.3.1.2.3

Rewrite the expression.

v = \frac{1}{- 3}

$v = \frac{1}{- 3}$

v = \frac{1}{- 3}

$v = \frac{1}{- 3}$

v = \frac{1}{- 3}

$v = \frac{1}{- 3}$

Step 4.2.3.2

Move the negative in front of the fraction.

v = - \frac{1}{3}

$v = - \frac{1}{3}$

v = - \frac{1}{3}

$v = - \frac{1}{3}$

v = - \frac{1}{3}

$v = - \frac{1}{3}$

v = - \frac{1}{3}

$v = - \frac{1}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

v = - \frac{1}{3}

$v = - \frac{1}{3}$

Decimal Form:

v = - 0.\overline{3}

$v = - 0.\overline{3}$

- 9 = \frac{3}{v}

$- 9 = \frac{3}{v}$

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[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$