Basic Math Examples

$f = \frac{p q + p r}{s}$

Step 1

Rewrite the equation as $\frac{p q + p r}{s} = f$ .

$\frac{p q + p r}{s} = f$

Step 2

Multiply both sides by $s$ .

$\frac{p q + p r}{s} s = f s$

Step 3

Simplify the left side.

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Step 3.1

Cancel the common factor of $s$ .

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Step 3.1.1

Cancel the common factor.

$\frac{p q + p r}{s} s = f s$

Step 3.1.2

Rewrite the expression.

$p q + p r = f s$

Step 4

Solve for $p$ .

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Step 4.1

Factor $p$ out of $p q + p r$ .

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Step 4.1.1

Factor $p$ out of $p q$ .

$p (q) + p r = f s$

Step 4.1.2

Factor $p$ out of $p r$ .

$p (q) + p (r) = f s$

Step 4.1.3

Factor $p$ out of $p (q) + p (r)$ .

$p (q + r) = f s$

Step 4.2

Divide each term in $p (q + r) = f s$ by $q + r$ and simplify.

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Step 4.2.1

Divide each term in $p (q + r) = f s$ by $q + r$ .

$\frac{p (q + r)}{q + r} = \frac{f s}{q + r}$

Step 4.2.2

Simplify the left side.

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Step 4.2.2.1

Cancel the common factor of $q + r$ .

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Step 4.2.2.1.1

Cancel the common factor.

$\frac{p (q + r)}{q + r} = \frac{f s}{q + r}$

Step 4.2.2.1.2

Divide $p$ by $1$ .

$p = \frac{f s}{q + r}$