Basic Math Examples

\frac{8}{n} = \frac{0.5}{4}

$\frac{8}{n} = \frac{0.5}{4}$

Step 1

Divide

0.5

$0.5$ by

4

$4$ .

\frac{8}{n} = 0.125

$\frac{8}{n} = 0.125$

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.

n, 1

$n, 1$

Step 2.2

The LCM of one and any expression is the expression.

n

$n$

n

$n$

Step 3

Multiply each term in

\frac{8}{n} = 0.125

$\frac{8}{n} = 0.125$ by

n

$n$ to eliminate the fractions.

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Step 3.1

Multiply each term in

\frac{8}{n} = 0.125

$\frac{8}{n} = 0.125$ by

n

$n$ .

\frac{8}{n} n = 0.125 n

$\frac{8}{n} n = 0.125 n$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of

n

$n$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{8}{n} n = 0.125 n$

Step 3.2.1.2

Rewrite the expression.

$8 = 0.125 n$

Step 4

Solve the equation.

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Step 4.1

Rewrite the equation as

$0.125 n = 8$ .

$0.125 n = 8$

Step 4.2

Divide each term in

$0.125 n = 8$ by

$0.125$ and simplify.

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Step 4.2.1

Divide each term in

$0.125 n = 8$ by

$0.125$ .

$\frac{0.125 n}{0.125} = \frac{8}{0.125}$

Step 4.2.2

Simplify the left side.

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Step 4.2.2.1

Cancel the common factor of

$0.125$ .

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Step 4.2.2.1.1

Cancel the common factor.

$\frac{0.125 n}{0.125} = \frac{8}{0.125}$

Step 4.2.2.1.2

Divide

$n$ by

$1$ .

$n = \frac{8}{0.125}$

Step 4.2.3

Simplify the right side.

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Step 4.2.3.1

Divide

$8$ by

$0.125$ .

$n = 64$