Basic Math Examples

$\frac{1}{12} \cdot \frac{3}{4} - \frac{1}{6} \div 2$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $3$ .

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Step 1.1.1

Factor $3$ out of $12$ .

$\frac{1}{3 (4)} \cdot \frac{3}{4} - \frac{1}{6} \div 2$

Step 1.1.2

Cancel the common factor.

$\frac{1}{3 \cdot 4} \cdot \frac{3}{4} - \frac{1}{6} \div 2$

Step 1.1.3

Rewrite the expression.

$\frac{1}{4} \cdot \frac{1}{4} - \frac{1}{6} \div 2$

Step 1.2

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

$\frac{1}{4 \cdot 4} - \frac{1}{6} \div 2$

Step 1.3

Multiply $4$ by $4$ .

$\frac{1}{16} - \frac{1}{6} \div 2$

Step 1.4

Rewrite the division as a fraction.

$\frac{1}{16} - \frac{\frac{1}{6}}{2}$

Step 1.5

Multiply the numerator by the reciprocal of the denominator.

$\frac{1}{16} - (\frac{1}{6} \cdot \frac{1}{2})$

Step 1.6

Multiply $\frac{1}{6} \cdot \frac{1}{2}$ .

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Step 1.6.1

Multiply $\frac{1}{6}$ by $\frac{1}{2}$ .

$\frac{1}{16} - \frac{1}{6 \cdot 2}$

Step 1.6.2

Multiply $6$ by $2$ .

$\frac{1}{16} - \frac{1}{12}$

Step 2

To write $\frac{1}{16}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{1}{16} \cdot \frac{3}{3} - \frac{1}{12}$

Step 3

To write $- \frac{1}{12}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{1}{16} \cdot \frac{3}{3} - \frac{1}{12} \cdot \frac{4}{4}$

Step 4

Write each expression with a common denominator of $48$ , by multiplying each by an appropriate factor of $1$ .

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Step 4.1

Multiply $\frac{1}{16}$ by $\frac{3}{3}$ .

$\frac{3}{16 \cdot 3} - \frac{1}{12} \cdot \frac{4}{4}$

Step 4.2

Multiply $16$ by $3$ .

$\frac{3}{48} - \frac{1}{12} \cdot \frac{4}{4}$

Step 4.3

Multiply $\frac{1}{12}$ by $\frac{4}{4}$ .

$\frac{3}{48} - \frac{4}{12 \cdot 4}$

Step 4.4

Multiply $12$ by $4$ .

$\frac{3}{48} - \frac{4}{48}$

Step 5

Combine the numerators over the common denominator.

$\frac{3 - 4}{48}$

Step 6

Subtract $4$ from $3$ .

$\frac{- 1}{48}$

Step 7

Move the negative in front of the fraction.

$- \frac{1}{48}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{48}$

Decimal Form:

$- 0.0208\overline{3}$