Basic Math Examples

$m = \frac{n - π}{r - 5}$

Step 1

Rewrite the equation as $\frac{n - π}{r - 5} = m$ .

$\frac{n - π}{r - 5} = m$

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.

$r - 5, 1$

Step 2.2

Remove parentheses.

$r - 5, 1$

Step 2.3

The LCM of one and any expression is the expression.

$r - 5$

Step 3

Multiply each term in $\frac{n - π}{r - 5} = m$ by $r - 5$ to eliminate the fractions.

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Step 3.1

Multiply each term in $\frac{n - π}{r - 5} = m$ by $r - 5$ .

$\frac{n - π}{r - 5} (r - 5) = m (r - 5)$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $r - 5$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{n - π}{r - 5} (r - 5) = m (r - 5)$

Step 3.2.1.2

Rewrite the expression.

$n - π = m (r - 5)$

Step 3.3

Simplify the right side.

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Step 3.3.1

Apply the distributive property.

$n - π = m r + m \cdot - 5$

Step 3.3.2

Move $- 5$ to the left of $m$ .

$n - π = m r - 5 m$

Step 4

Solve the equation.

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Step 4.1

Rewrite the equation as $m r - 5 m = n - π$ .

$m r - 5 m = n - π$

Step 4.2

Add $5 m$ to both sides of the equation.

$m r = n - π + 5 m$

Step 4.3

Divide each term in $m r = n - π + 5 m$ by $m$ and simplify.

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Step 4.3.1

Divide each term in $m r = n - π + 5 m$ by $m$ .

$\frac{m r}{m} = \frac{n}{m} + \frac{- π}{m} + \frac{5 m}{m}$

Step 4.3.2

Simplify the left side.

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Step 4.3.2.1

Cancel the common factor of $m$ .

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Step 4.3.2.1.1

Cancel the common factor.

$\frac{m r}{m} = \frac{n}{m} + \frac{- π}{m} + \frac{5 m}{m}$

Step 4.3.2.1.2

Divide $r$ by $1$ .

$r = \frac{n}{m} + \frac{- π}{m} + \frac{5 m}{m}$

Step 4.3.3

Simplify the right side.

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Step 4.3.3.1

Simplify each term.

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Step 4.3.3.1.1

Move the negative in front of the fraction.

$r = \frac{n}{m} - \frac{π}{m} + \frac{5 m}{m}$

Step 4.3.3.1.2

Cancel the common factor of $m$ .

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Step 4.3.3.1.2.1

Cancel the common factor.

$r = \frac{n}{m} - \frac{π}{m} + \frac{5 m}{m}$

Step 4.3.3.1.2.2

Divide $5$ by $1$ .

$r = \frac{n}{m} - \frac{π}{m} + 5$