Pre-Algebra Examples

$f (28) = 0.2 n + 2.5$

Step 1

Divide each term in $f (28) = 0.2 n + 2.5$ by $28$ and simplify.

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Step 1.1

Divide each term in $f (28) = 0.2 n + 2.5$ by $28$ .

$\frac{f \cdot 28}{28} = \frac{0.2 n}{28} + \frac{2.5}{28}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $28$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{f \cdot 28}{28} = \frac{0.2 n}{28} + \frac{2.5}{28}$

Step 1.2.1.2

Divide $f$ by $1$ .

$f = \frac{0.2 n}{28} + \frac{2.5}{28}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Simplify each term.

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Step 1.3.1.1

Factor $0.2$ out of $0.2 n$ .

$f = \frac{0.2 (n)}{28} + \frac{2.5}{28}$

Step 1.3.1.2

Factor $28$ out of $28$ .

$f = \frac{0.2 (n)}{28 (1)} + \frac{2.5}{28}$

Step 1.3.1.3

Separate fractions.

$f = \frac{0.2}{28} \cdot \frac{n}{1} + \frac{2.5}{28}$

Step 1.3.1.4

Divide $0.2$ by $28$ .

$f = 0.00714285 \frac{n}{1} + \frac{2.5}{28}$

Step 1.3.1.5

Divide $n$ by $1$ .

$f = 0.00714285 n + \frac{2.5}{28}$

Step 1.3.1.6

Divide $2.5$ by $28$ .

$f = 0.00714285 n + 0.08928571$

Step 2

Take the base solution.

$f = 0.08928571$