Basic Math Examples

$\frac{8.87}{r} = 22.175$

Step 1

Find the LCD of the terms in the equation.

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Step 1.1

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$r, 1$

Step 1.2

The LCM of one and any expression is the expression.

$r$

Step 2

Multiply each term in $\frac{8.87}{r} = 22.175$ by $r$ to eliminate the fractions.

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Step 2.1

Multiply each term in $\frac{8.87}{r} = 22.175$ by $r$ .

$\frac{8.87}{r} r = 22.175 r$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $r$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{8.87}{r} r = 22.175 r$

Step 2.2.1.2

Rewrite the expression.

$8.87 = 22.175 r$

Step 3

Solve the equation.

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Step 3.1

Rewrite the equation as $22.175 r = 8.87$ .

$22.175 r = 8.87$

Step 3.2

Divide each term in $22.175 r = 8.87$ by $22.175$ and simplify.

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Step 3.2.1

Divide each term in $22.175 r = 8.87$ by $22.175$ .

$\frac{22.175 r}{22.175} = \frac{8.87}{22.175}$

Step 3.2.2

Simplify the left side.

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Step 3.2.2.1

Cancel the common factor of $22.175$ .

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Step 3.2.2.1.1

Cancel the common factor.

$\frac{22.175 r}{22.175} = \frac{8.87}{22.175}$

Step 3.2.2.1.2

Divide $r$ by $1$ .

$r = \frac{8.87}{22.175}$

Step 3.2.3

Simplify the right side.

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Step 3.2.3.1

Divide $8.87$ by $22.175$ .

$r = 0.4$