Basic Math Examples

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

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

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

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

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{2}{3}

$\frac{2}{3}$ by

\frac{4}{4}

$\frac{4}{4}$ .

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

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

Step 2.2

Multiply

3

$3$ by

4

$4$ .

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

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

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

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

Step 3

Combine the numerators over the common denominator.

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

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

Step 4

Simplify the numerator.

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Step 4.1

Multiply

2

$2$ by

4

$4$ .

\frac{8 - 11}{12}

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

Step 4.2

Subtract

11

$11$ from

8

$8$ .

\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

Move the negative in front of the fraction.

$- \frac{1}{4}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{4}$

Decimal Form:

$- 0.25$