Pre-Algebra Examples

$\frac{- 1.8}{16.8} = \frac{- 3}{n}$

Step 1

Rewrite the equation as $\frac{- 3}{n} = \frac{- 1.8}{16.8}$ .

$\frac{- 3}{n} = \frac{- 1.8}{16.8}$

Step 2

Factor each term.

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Step 2.1

Move the negative in front of the fraction.

$- \frac{3}{n} = \frac{- 1.8}{16.8}$

Step 2.2

Divide $- 1.8$ by $16.8$ .

$- \frac{3}{n} = - 0.10714285$

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 $- \frac{3}{n} = - 0.10714285$ by $n$ to eliminate the fractions.

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Step 4.1

Multiply each term in $- \frac{3}{n} = - 0.10714285$ by $n$ .

$- \frac{3}{n} n = - 0.10714285 n$

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

Move the leading negative in $- \frac{3}{n}$ into the numerator.

$\frac{- 3}{n} n = - 0.10714285 n$

Step 4.2.1.2

Cancel the common factor.

$\frac{- 3}{n} n = - 0.10714285 n$

Step 4.2.1.3

Rewrite the expression.

$- 3 = - 0.10714285 n$

Step 5

Solve the equation.

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Step 5.1

Rewrite the equation as $- 0.10714285 n = - 3$ .

$- 0.10714285 n = - 3$

Step 5.2

Divide each term in $- 0.10714285 n = - 3$ by $- 0.10714285$ and simplify.

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Step 5.2.1

Divide each term in $- 0.10714285 n = - 3$ by $- 0.10714285$ .

$\frac{- 0.10714285 n}{- 0.10714285} = \frac{- 3}{- 0.10714285}$

Step 5.2.2

Simplify the left side.

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Step 5.2.2.1

Cancel the common factor of $- 0.10714285$ .

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Step 5.2.2.1.1

Cancel the common factor.

$\frac{- 0.10714285 n}{- 0.10714285} = \frac{- 3}{- 0.10714285}$

Step 5.2.2.1.2

Divide $n$ by $1$ .

$n = \frac{- 3}{- 0.10714285}$

Step 5.2.3

Simplify the right side.

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Step 5.2.3.1

Divide $- 3$ by $- 0.10714285$ .

$n = 28$