Pre-Algebra Examples

$a = \frac{1}{4} g \cdot n$

Step 1

Rewrite the equation as $\frac{1}{4} g \cdot n = a$ .

$\frac{1}{4} g \cdot n = a$

Step 2

Divide each term in $\frac{1}{4} g \cdot n = a$ by $\frac{1}{4} n$ and simplify.

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Step 2.1

Divide each term in $\frac{1}{4} g \cdot n = a$ by $\frac{1}{4} n$ .

$\frac{\frac{1}{4} g \cdot n}{\frac{1}{4} n} = \frac{a}{\frac{1}{4} n}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $\frac{1}{4}$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{\frac{1}{4} g \cdot n}{\frac{1}{4} n} = \frac{a}{\frac{1}{4} n}$

Step 2.2.1.2

Rewrite the expression.

$\frac{g \cdot n}{n} = \frac{a}{\frac{1}{4} n}$

Step 2.2.2

Cancel the common factor of $n$ .

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Step 2.2.2.1

Cancel the common factor.

$\frac{g \cdot n}{n} = \frac{a}{\frac{1}{4} n}$

Step 2.2.2.2

Divide $g$ by $1$ .

$g = \frac{a}{\frac{1}{4} n}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Combine $\frac{1}{4}$ and $n$ .

$g = \frac{a}{\frac{n}{4}}$

Step 2.3.2

Multiply the numerator by the reciprocal of the denominator.

$g = a \frac{4}{n}$

Step 2.3.3

Combine $a$ and $\frac{4}{n}$ .

$g = \frac{a \cdot 4}{n}$

Step 2.3.4

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

$g = \frac{4 a}{n}$