Basic Math Examples

- \frac{11}{12} + \frac{1}{4}

$- \frac{11}{12} + \frac{1}{4}$

Step 1

To write

\frac{1}{4}

$\frac{1}{4}$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

- \frac{11}{12} + \frac{1}{4} \cdot \frac{3}{3}

$- \frac{11}{12} + \frac{1}{4} \cdot \frac{3}{3}$

Step 2

Write each expression with a common denominator of

12

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

1

$1$ .

Tap for more steps...

Step 2.1

Multiply

\frac{1}{4}

$\frac{1}{4}$ by

\frac{3}{3}

$\frac{3}{3}$ .

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

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

Step 2.2

Multiply

4

$4$ by

3

$3$ .

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

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

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

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

Step 3

Simplify the expression.

Tap for more steps...

Step 3.1

Combine the numerators over the common denominator.

\frac{- 11 + 3}{12}

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

Step 3.2

Add

- 11

$- 11$ and

3

$3$ .

\frac{- 8}{12}

$\frac{- 8}{12}$

\frac{- 8}{12}

$\frac{- 8}{12}$

Step 4

Cancel the common factor of

- 8

$- 8$ and

12

$12$ .

Tap for more steps...

Step 4.1

Factor

4

$4$ out of

- 8

$- 8$ .

\frac{4 (- 2)}{12}

$\frac{4 (- 2)}{12}$

Step 4.2

Cancel the common factors.

Tap for more steps...

Step 4.2.1

Factor

4

$4$ out of

12

$12$ .

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

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

Step 4.2.2

Cancel the common factor.

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

Step 4.2.3

Rewrite the expression.

$\frac{- 2}{3}$

Step 5

Move the negative in front of the fraction.

$- \frac{2}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{2}{3}$

Decimal Form:

$- 0.\overline{6}$