Basic Math Examples

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

Step 1

Simplify each term.

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Step 1.1

Multiply $\frac{1}{3} \cdot \frac{1}{4}$ .

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Step 1.1.1

Multiply $\frac{1}{3}$ by $\frac{1}{4}$ .

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

Step 1.1.2

Multiply $3$ by $4$ .

$\frac{1}{2} + \frac{1}{12} - \frac{3}{4} \div \frac{1}{2}$

Step 1.2

To divide by a fraction, multiply by its reciprocal.

$\frac{1}{2} + \frac{1}{12} - (\frac{3}{4} \cdot 2)$

Step 1.3

Cancel the common factor of $2$ .

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Step 1.3.1

Factor $2$ out of $4$ .

$\frac{1}{2} + \frac{1}{12} - (\frac{3}{2 (2)} \cdot 2)$

Step 1.3.2

Cancel the common factor.

$\frac{1}{2} + \frac{1}{12} - (\frac{3}{2 \cdot 2} \cdot 2)$

Step 1.3.3

Rewrite the expression.

$\frac{1}{2} + \frac{1}{12} - \frac{3}{2}$

Step 2

Combine fractions.

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Step 2.1

Combine the numerators over the common denominator.

$\frac{1 - 3}{2} + \frac{1}{12}$

Step 2.2

Simplify the expression.

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Step 2.2.1

Subtract $3$ from $1$ .

$\frac{- 2}{2} + \frac{1}{12}$

Step 2.2.2

Divide $- 2$ by $2$ .

$- 1 + \frac{1}{12}$

Step 3

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{12}{12}$ .

$- 1 \cdot \frac{12}{12} + \frac{1}{12}$

Step 4

Combine $- 1$ and $\frac{12}{12}$ .

$\frac{- 1 \cdot 12}{12} + \frac{1}{12}$

Step 5

Combine the numerators over the common denominator.

$\frac{- 1 \cdot 12 + 1}{12}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply $- 1$ by $12$ .

$\frac{- 12 + 1}{12}$

Step 6.2

Add $- 12$ and $1$ .

$\frac{- 11}{12}$

Step 7

Move the negative in front of the fraction.

$- \frac{11}{12}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$- \frac{11}{12}$

Decimal Form:

$- 0.91\overline{6}$