Pre-Algebra Examples

$\frac{2}{x} = 0.2$

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.

$x, 1$

Step 1.2

The LCM of one and any expression is the expression.

$x$

Step 2

Multiply each term in $\frac{2}{x} = 0.2$ by $x$ to eliminate the fractions.

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Step 2.1

Multiply each term in $\frac{2}{x} = 0.2$ by $x$ .

$\frac{2}{x} x = 0.2 x$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $x$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{2}{x} x = 0.2 x$

Step 2.2.1.2

Rewrite the expression.

$2 = 0.2 x$

Step 3

Solve the equation.

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Step 3.1

Rewrite the equation as $0.2 x = 2$ .

$0.2 x = 2$

Step 3.2

Divide each term in $0.2 x = 2$ by $0.2$ and simplify.

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Step 3.2.1

Divide each term in $0.2 x = 2$ by $0.2$ .

$\frac{0.2 x}{0.2} = \frac{2}{0.2}$

Step 3.2.2

Simplify the left side.

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Step 3.2.2.1

Cancel the common factor of $0.2$ .

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Step 3.2.2.1.1

Cancel the common factor.

$\frac{0.2 x}{0.2} = \frac{2}{0.2}$

Step 3.2.2.1.2

Divide $x$ by $1$ .

$x = \frac{2}{0.2}$

Step 3.2.3

Simplify the right side.

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Step 3.2.3.1

Divide $2$ by $0.2$ .

$x = 10$