Linear Algebra Examples

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

Step 1

To write $\frac{3}{4}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

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

Step 2

Write each expression with a common denominator of $12$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.1

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

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

Step 2.2

Multiply $4$ by $3$ .

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

Step 3

Combine the numerators over the common denominator.

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

Step 4

Simplify the numerator.

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Step 4.1

Multiply $3$ by $3$ .

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

Step 4.2

Subtract $1$ from $9$ .

$\frac{8}{12}$

Step 5

Cancel the common factor of $8$ and $12$ .

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Step 5.1

Factor $4$ out of $8$ .

$\frac{4 (2)}{12}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $4$ out of $12$ .

$\frac{4 \cdot 2}{4 \cdot 3}$

Step 5.2.2

Cancel the common factor.

$\frac{4 \cdot 2}{4 \cdot 3}$

Step 5.2.3

Rewrite the expression.

$\frac{2}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{3}$

Decimal Form:

$0.\overline{6}$