Pre-Algebra Examples

$a = P + P R t$

Step 1

Rewrite the equation as $P + P R t = a$ .

$P + P R t = a$

Step 2

Subtract $P$ from both sides of the equation.

$P R t = a - P$

Step 3

Divide each term in $P R t = a - P$ by $P R$ and simplify.

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Step 3.1

Divide each term in $P R t = a - P$ by $P R$ .

$\frac{P R t}{P R} = \frac{a}{P R} + \frac{- P}{P R}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $P$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{P R t}{P R} = \frac{a}{P R} + \frac{- P}{P R}$

Step 3.2.1.2

Rewrite the expression.

$\frac{R t}{R} = \frac{a}{P R} + \frac{- P}{P R}$

Step 3.2.2

Cancel the common factor of $R$ .

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Step 3.2.2.1

Cancel the common factor.

$\frac{R t}{R} = \frac{a}{P R} + \frac{- P}{P R}$

Step 3.2.2.2

Divide $t$ by $1$ .

$t = \frac{a}{P R} + \frac{- P}{P R}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Simplify each term.

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Step 3.3.1.1

Cancel the common factor of $P$ .

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Step 3.3.1.1.1

Cancel the common factor.

$t = \frac{a}{P R} + \frac{- P}{P R}$

Step 3.3.1.1.2

Rewrite the expression.

$t = \frac{a}{P R} + \frac{- 1}{R}$

Step 3.3.1.2

Move the negative in front of the fraction.

$t = \frac{a}{P R} - \frac{1}{R}$