Basic Math Examples

$5 (n - \frac{1}{10}) = \frac{1}{2}$

Step 1

Simplify $5 (n - \frac{1}{10})$ .

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Step 1.1

Apply the distributive property.

$5 n + 5 (- \frac{1}{10}) = \frac{1}{2}$

Step 1.2

Cancel the common factor of $5$ .

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Step 1.2.1

Move the leading negative in $- \frac{1}{10}$ into the numerator.

$5 n + 5 (\frac{- 1}{10}) = \frac{1}{2}$

Step 1.2.2

Factor $5$ out of $10$ .

$5 n + 5 \frac{- 1}{5 (2)} = \frac{1}{2}$

Step 1.2.3

Cancel the common factor.

$5 n + 5 \frac{- 1}{5 \cdot 2} = \frac{1}{2}$

Step 1.2.4

Rewrite the expression.

$5 n + \frac{- 1}{2} = \frac{1}{2}$

Step 1.3

Move the negative in front of the fraction.

$5 n - \frac{1}{2} = \frac{1}{2}$

Step 2

Move all terms not containing $n$ to the right side of the equation.

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Step 2.1

Add $\frac{1}{2}$ to both sides of the equation.

$5 n = \frac{1}{2} + \frac{1}{2}$

Step 2.2

Combine the numerators over the common denominator.

$5 n = \frac{1 + 1}{2}$

Step 2.3

Add $1$ and $1$ .

$5 n = \frac{2}{2}$

Step 2.4

Divide $2$ by $2$ .

$5 n = 1$

Step 3

Divide each term in $5 n = 1$ by $5$ and simplify.

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Step 3.1

Divide each term in $5 n = 1$ by $5$ .

$\frac{5 n}{5} = \frac{1}{5}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $5$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{5 n}{5} = \frac{1}{5}$

Step 3.2.1.2

Divide $n$ by $1$ .

$n = \frac{1}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$n = \frac{1}{5}$

Decimal Form:

$n = 0.2$