Pre-Algebra Examples

$f (12) = v ((12) + 4)$

Step 1

Add $12$ and $4$ .

$f (12) = v \cdot 16$

Step 2

Divide each term in $f (12) = v \cdot 16$ by $12$ and simplify.

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Step 2.1

Divide each term in $f (12) = v \cdot 16$ by $12$ .

$\frac{f (12)}{12} = \frac{v \cdot 16}{12}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $12$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{f \cdot 12}{12} = \frac{v \cdot 16}{12}$

Step 2.2.1.2

Divide $f$ by $1$ .

$f = \frac{v \cdot 16}{12}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Cancel the common factor of $16$ and $12$ .

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Step 2.3.1.1

Factor $4$ out of $v \cdot 16$ .

$f = \frac{4 (v \cdot 4)}{12}$

Step 2.3.1.2

Cancel the common factors.

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Step 2.3.1.2.1

Factor $4$ out of $12$ .

$f = \frac{4 (v \cdot 4)}{4 (3)}$

Step 2.3.1.2.2

Cancel the common factor.

$f = \frac{4 (v \cdot 4)}{4 \cdot 3}$

Step 2.3.1.2.3

Rewrite the expression.

$f = \frac{v \cdot 4}{3}$

Step 2.3.2

Move $4$ to the left of $v$ .

$f = \frac{4 v}{3}$