Basic Math Examples

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

Step 1

Cancel the common factor of $2$ and $6$ .

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Step 1.1

Factor $2$ out of $2$ .

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

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $2$ out of $6$ .

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

Step 1.2.2

Cancel the common factor.

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

Step 1.2.3

Rewrite the expression.

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

Step 2

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

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

Step 3

To write $- \frac{1}{3}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

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

Step 4

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

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Step 4.1

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

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

Step 4.2

Multiply $4$ by $3$ .

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

Step 4.3

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

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

Step 4.4

Multiply $3$ by $4$ .

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

Step 5

Combine the numerators over the common denominator.

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

Step 6

Simplify the numerator.

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Step 6.1

Multiply $3$ by $3$ .

$\frac{9 - 4}{12}$

Step 6.2

Subtract $4$ from $9$ .

$\frac{5}{12}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{12}$

Decimal Form:

$0.41\overline{6}$