Basic Math Examples

\frac{3}{4} - \frac{5}{12}

$\frac{3}{4} - \frac{5}{12}$

Step 1

To write

\frac{3}{4}

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

\frac{3}{3}

$\frac{3}{3}$ .

\frac{3}{4} \cdot \frac{3}{3} - \frac{5}{12}

$\frac{3}{4} \cdot \frac{3}{3} - \frac{5}{12}$

Step 2

Write each expression with a common denominator of

12

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

1

$1$ .

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Step 2.1

Multiply

\frac{3}{4}

$\frac{3}{4}$ by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{3 \cdot 3}{4 \cdot 3} - \frac{5}{12}

$\frac{3 \cdot 3}{4 \cdot 3} - \frac{5}{12}$

Step 2.2

Multiply

4

$4$ by

3

$3$ .

\frac{3 \cdot 3}{12} - \frac{5}{12}

$\frac{3 \cdot 3}{12} - \frac{5}{12}$

\frac{3 \cdot 3}{12} - \frac{5}{12}

$\frac{3 \cdot 3}{12} - \frac{5}{12}$

Step 3

Combine the numerators over the common denominator.

\frac{3 \cdot 3 - 5}{12}

$\frac{3 \cdot 3 - 5}{12}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply

3

$3$ by

3

$3$ .

\frac{9 - 5}{12}

$\frac{9 - 5}{12}$

Step 4.2

Subtract

5

$5$ from

9

$9$ .

\frac{4}{12}

$\frac{4}{12}$

\frac{4}{12}

$\frac{4}{12}$

Step 5

Cancel the common factor of

4

$4$ and

12

$12$ .

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Step 5.1

Factor

4

$4$ out of

4

$4$ .

\frac{4 (1)}{12}

$\frac{4 (1)}{12}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor

4

$4$ out of

12

$12$ .

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

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

Step 5.2.2

Cancel the common factor.

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

Step 5.2.3

Rewrite the expression.

$\frac{1}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{3}$

Decimal Form:

$0.\overline{3}$