Basic Math Examples

$\frac{1}{12} - \frac{3}{9}$

Step 1

Cancel the common factor of

$3$ and

$9$ .

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Step 1.1

Factor

$3$ out of

$3$ .

$\frac{1}{12} - \frac{3 (1)}{9}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor

$3$ out of

$9$ .

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

Step 1.2.2

Cancel the common factor.

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

Step 1.2.3

Rewrite the expression.

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

Step 2

To write

$- \frac{1}{3}$ as a fraction with a common denominator, multiply by

$\frac{4}{4}$ .

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

Step 3

Write each expression with a common denominator of

$12$ , by multiplying each by an appropriate factor of

$1$ .

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Step 3.1

Multiply

$\frac{1}{3}$ by

$\frac{4}{4}$ .

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

Step 3.2

Multiply

$3$ by

$4$ .

$\frac{1}{12} - \frac{4}{12}$

Step 4

Simplify the expression.

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Step 4.1

Combine the numerators over the common denominator.

$\frac{1 - 4}{12}$

Step 4.2

Subtract

$4$ from

$1$ .

$\frac{- 3}{12}$

Step 5

Cancel the common factor of

$- 3$ and

$12$ .

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Step 5.1

Factor

$3$ out of

$- 3$ .

$\frac{3 (- 1)}{12}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor

$3$ out of

$12$ .

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

Step 5.2.2

Cancel the common factor.

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

Step 5.2.3

Rewrite the expression.

$\frac{- 1}{4}$

Step 6

Move the negative in front of the fraction.

$- \frac{1}{4}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{4}$

Decimal Form:

$- 0.25$