Algebra Examples

$p = \frac{6}{a}$

Step 1

Rewrite the equation as $\frac{6}{a} = p$ .

$\frac{6}{a} = p$

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.

$a, 1$

Step 2.2

The LCM of one and any expression is the expression.

$a$

Step 3

Multiply each term in $\frac{6}{a} = p$ by $a$ to eliminate the fractions.

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Step 3.1

Multiply each term in $\frac{6}{a} = p$ by $a$ .

$\frac{6}{a} a = p a$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $a$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{6}{a} a = p a$

Step 3.2.1.2

Rewrite the expression.

$6 = p a$

Step 4

Solve the equation.

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Step 4.1

Rewrite the equation as $p a = 6$ .

$p a = 6$

Step 4.2

Divide each term in $p a = 6$ by $p$ and simplify.

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Step 4.2.1

Divide each term in $p a = 6$ by $p$ .

$\frac{p a}{p} = \frac{6}{p}$

Step 4.2.2

Simplify the left side.

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Step 4.2.2.1

Cancel the common factor of $p$ .

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Step 4.2.2.1.1

Cancel the common factor.

$\frac{p a}{p} = \frac{6}{p}$

Step 4.2.2.1.2

Divide $a$ by $1$ .

$a = \frac{6}{p}$