Basic Math Examples

$\frac{16.5}{2} = \frac{1.2}{n}$

Step 1

Rewrite the equation as

$\frac{1.2}{n} = \frac{16.5}{2}$ .

$\frac{1.2}{n} = \frac{16.5}{2}$

Step 2

Divide

$16.5$ by

$2$ .

$\frac{1.2}{n} = 8.25$

Step 3

Find the LCD of the terms in the equation.

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Step 3.1

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

$n, 1$

Step 3.2

The LCM of one and any expression is the expression.

$n$

Step 4

Multiply each term in

$\frac{1.2}{n} = 8.25$ by

$n$ to eliminate the fractions.

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Step 4.1

Multiply each term in

$\frac{1.2}{n} = 8.25$ by

$n$ .

$\frac{1.2}{n} n = 8.25 n$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of

$n$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{1.2}{n} n = 8.25 n$

Step 4.2.1.2

Rewrite the expression.

$1.2 = 8.25 n$

Step 5

Solve the equation.

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Step 5.1

Rewrite the equation as

$8.25 n = 1.2$ .

$8.25 n = 1.2$

Step 5.2

Divide each term in

$8.25 n = 1.2$ by

$8.25$ and simplify.

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Step 5.2.1

Divide each term in

$8.25 n = 1.2$ by

$8.25$ .

$\frac{8.25 n}{8.25} = \frac{1.2}{8.25}$

Step 5.2.2

Simplify the left side.

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Step 5.2.2.1

Cancel the common factor of

$8.25$ .

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Step 5.2.2.1.1

Cancel the common factor.

$\frac{8.25 n}{8.25} = \frac{1.2}{8.25}$

Step 5.2.2.1.2

Divide

$n$ by

$1$ .

$n = \frac{1.2}{8.25}$

Step 5.2.3

Simplify the right side.

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Step 5.2.3.1

Divide

$1.2$ by

$8.25$ .

$n = 0.1\overline{45}$