Evaluate -12/16+(11/12)

$- \frac{12}{16} + (\frac{11}{12})$

Step 1

Remove parentheses.

$- \frac{12}{16} + \frac{11}{12}$

Step 2

Cancel the common factor of $12$ and $16$ .

Factor $4$ out of $12$ .

$- \frac{4 (3)}{16} + \frac{11}{12}$

Cancel the common factors.

Factor $4$ out of $16$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 3

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

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

Step 4

Write each expression with a common denominator of $12$ , by multiplying each by an appropriate factor of $1$ .

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

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

Multiply $4$ by $3$ .

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

Step 5

Combine the numerators over the common denominator.

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

Step 6

Simplify the numerator.

Multiply $- 3$ by $3$ .

$\frac{- 9 + 11}{12}$

Add $- 9$ and $11$ .

$\frac{2}{12}$

Step 7

Cancel the common factor of $2$ and $12$ .

Factor $2$ out of $2$ .

$\frac{2 (1)}{12}$

Cancel the common factors.

Factor $2$ out of $12$ .

$\frac{2 \cdot 1}{2 \cdot 6}$

Cancel the common factor.

$\frac{2 \cdot 1}{2 \cdot 6}$

Rewrite the expression.

$\frac{1}{6}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{6}$

Decimal Form:

$0.1\overline{6}$

Evaluate -12/16+(11/12)

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