Algebra Examples

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

Step 1

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

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

Step 2

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

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

Step 3.2

Multiply $4$ by $3$ .

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

Step 3.3

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

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

Step 3.4

Multiply $3$ by $4$ .

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

Step 4

Combine the numerators over the common denominator.

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

Step 5

Simplify the numerator.

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Step 5.1

Multiply $3$ by $3$ .

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

Step 5.2

Subtract $4$ from $9$ .

$\frac{5}{12}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{12}$

Decimal Form:

$0.41\overline{6}$