Basic Math Examples

\frac{11}{12} - \frac{2}{3}

$\frac{11}{12} - \frac{2}{3}$

Step 1

To write

- \frac{2}{3}

$- \frac{2}{3}$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

\frac{11}{12} - \frac{2}{3} \cdot \frac{4}{4}

$\frac{11}{12} - \frac{2}{3} \cdot \frac{4}{4}$

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{2}{3}

$\frac{2}{3}$ by

\frac{4}{4}

$\frac{4}{4}$ .

\frac{11}{12} - \frac{2 \cdot 4}{3 \cdot 4}

$\frac{11}{12} - \frac{2 \cdot 4}{3 \cdot 4}$

Step 2.2

Multiply

3

$3$ by

4

$4$ .

\frac{11}{12} - \frac{2 \cdot 4}{12}

$\frac{11}{12} - \frac{2 \cdot 4}{12}$

\frac{11}{12} - \frac{2 \cdot 4}{12}

$\frac{11}{12} - \frac{2 \cdot 4}{12}$

Step 3

Combine the numerators over the common denominator.

\frac{11 - 2 \cdot 4}{12}

$\frac{11 - 2 \cdot 4}{12}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply

- 2

$- 2$ by

4

$4$ .

\frac{11 - 8}{12}

$\frac{11 - 8}{12}$

Step 4.2

Subtract

8

$8$ from

11

$11$ .

\frac{3}{12}

$\frac{3}{12}$

\frac{3}{12}

$\frac{3}{12}$

Step 5

Cancel the common factor of

3

$3$ and

12

$12$ .

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Step 5.1

Factor

3

$3$ out of

3

$3$ .

\frac{3 (1)}{12}

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

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor

3

$3$ out of

12

$12$ .

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

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

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

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{4}$

Decimal Form:

$0.25$