Finite Math Examples

$x = 0 (\frac{1}{4}) + 1 (\frac{1}{2}) + 2 (\frac{1}{4})$

Step 1

Simplify each term.

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Step 1.1

Multiply $0$ by $\frac{1}{4}$ .

$x = 0 + 1 (\frac{1}{2}) + 2 (\frac{1}{4})$

Step 1.2

Multiply $\frac{1}{2}$ by $1$ .

$x = 0 + \frac{1}{2} + 2 (\frac{1}{4})$

Step 1.3

Cancel the common factor of $2$ .

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Step 1.3.1

Factor $2$ out of $4$ .

$x = 0 + \frac{1}{2} + 2 \frac{1}{2 (2)}$

Step 1.3.2

Cancel the common factor.

$x = 0 + \frac{1}{2} + 2 \frac{1}{2 \cdot 2}$

Step 1.3.3

Rewrite the expression.

$x = 0 + \frac{1}{2} + \frac{1}{2}$

Step 2

Combine fractions.

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Step 2.1

Combine the numerators over the common denominator.

$x = \frac{1 + 1}{2}$

Step 2.2

Simplify the expression.

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Step 2.2.1

Add $1$ and $1$ .

$x = \frac{2}{2}$

Step 2.2.2

Divide $2$ by $2$ .

$x = 1$