Finite Math Examples

$50 = \frac{2}{5 x}$

Step 1

Rewrite the equation as $\frac{2}{5 x} = 50$ .

$\frac{2}{5 x} = 50$

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.

$5 x, 1$

Step 2.2

The LCM of one and any expression is the expression.

$5 x$

Step 3

Multiply each term in $\frac{2}{5 x} = 50$ by $5 x$ to eliminate the fractions.

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Step 3.1

Multiply each term in $\frac{2}{5 x} = 50$ by $5 x$ .

$\frac{2}{5 x} (5 x) = 50 (5 x)$

Step 3.2

Simplify the left side.

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Step 3.2.1

Rewrite using the commutative property of multiplication.

$5 \frac{2}{5 x} x = 50 (5 x)$

Step 3.2.2

Cancel the common factor of $5$ .

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Step 3.2.2.1

Factor $5$ out of $5 x$ .

$5 \frac{2}{5 (x)} x = 50 (5 x)$

Step 3.2.2.2

Cancel the common factor.

$5 \frac{2}{5 x} x = 50 (5 x)$

Step 3.2.2.3

Rewrite the expression.

$\frac{2}{x} x = 50 (5 x)$

Step 3.2.3

Cancel the common factor of $x$ .

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Step 3.2.3.1

Cancel the common factor.

$\frac{2}{x} x = 50 (5 x)$

Step 3.2.3.2

Rewrite the expression.

$2 = 50 (5 x)$

Step 3.3

Simplify the right side.

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Step 3.3.1

Multiply $5$ by $50$ .

$2 = 250 x$

Step 4

Solve the equation.

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Step 4.1

Rewrite the equation as $250 x = 2$ .

$250 x = 2$

Step 4.2

Divide each term in $250 x = 2$ by $250$ and simplify.

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Step 4.2.1

Divide each term in $250 x = 2$ by $250$ .

$\frac{250 x}{250} = \frac{2}{250}$

Step 4.2.2

Simplify the left side.

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Step 4.2.2.1

Cancel the common factor of $250$ .

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Step 4.2.2.1.1

Cancel the common factor.

$\frac{250 x}{250} = \frac{2}{250}$

Step 4.2.2.1.2

Divide $x$ by $1$ .

$x = \frac{2}{250}$

Step 4.2.3

Simplify the right side.

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Step 4.2.3.1

Cancel the common factor of $2$ and $250$ .

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Step 4.2.3.1.1

Factor $2$ out of $2$ .

$x = \frac{2 (1)}{250}$

Step 4.2.3.1.2

Cancel the common factors.

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Step 4.2.3.1.2.1

Factor $2$ out of $250$ .

$x = \frac{2 \cdot 1}{2 \cdot 125}$

Step 4.2.3.1.2.2

Cancel the common factor.

$x = \frac{2 \cdot 1}{2 \cdot 125}$

Step 4.2.3.1.2.3

Rewrite the expression.

$x = \frac{1}{125}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{125}$

Decimal Form:

$x = 0.008$