Basic Math Examples

$\frac{1}{2} + \frac{1}{4} - \frac{3}{4}$

Step 1

Combine fractions.

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Step 1.1

Combine the numerators over the common denominator.

$\frac{1}{2} + \frac{1 - 3}{4}$

Step 1.2

Subtract $3$ from $1$ .

$\frac{1}{2} + \frac{- 2}{4}$

Step 2

Simplify each term.

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Step 2.1

Cancel the common factor of $- 2$ and $4$ .

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Step 2.1.1

Factor $2$ out of $- 2$ .

$\frac{1}{2} + \frac{2 (- 1)}{4}$

Step 2.1.2

Cancel the common factors.

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Step 2.1.2.1

Factor $2$ out of $4$ .

$\frac{1}{2} + \frac{2 \cdot - 1}{2 \cdot 2}$

Step 2.1.2.2

Cancel the common factor.

$\frac{1}{2} + \frac{2 \cdot - 1}{2 \cdot 2}$

Step 2.1.2.3

Rewrite the expression.

$\frac{1}{2} + \frac{- 1}{2}$

Step 2.2

Move the negative in front of the fraction.

$\frac{1}{2} - \frac{1}{2}$

Step 3

Combine fractions.

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Step 3.1

Combine the numerators over the common denominator.

$\frac{1 - 1}{2}$

Step 3.2

Simplify the expression.

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Step 3.2.1

Subtract $1$ from $1$ .

$\frac{0}{2}$

Step 3.2.2

Divide $0$ by $2$ .

$0$