Pre-Algebra Examples

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

Step 1

Multiply $- (- \frac{3}{4})$ .

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Step 1.1

Multiply $- 1$ by $- 1$ .

$\frac{11}{12} + 1 (\frac{3}{4})$

Step 1.2

Multiply $\frac{3}{4}$ by $1$ .

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

Step 2

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

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

Step 3

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

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Step 3.1

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

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

Step 3.2

Multiply $4$ by $3$ .

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

Step 4

Combine the numerators over the common denominator.

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

Step 5

Simplify the numerator.

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Step 5.1

Multiply $3$ by $3$ .

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

Step 5.2

Add $11$ and $9$ .

$\frac{20}{12}$

Step 6

Cancel the common factor of $20$ and $12$ .

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Step 6.1

Factor $4$ out of $20$ .

$\frac{4 (5)}{12}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor $4$ out of $12$ .

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

Step 6.2.2

Cancel the common factor.

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

Step 6.2.3

Rewrite the expression.

$\frac{5}{3}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{3}$

Decimal Form:

$1.\overline{6}$

Mixed Number Form:

$1 \frac{2}{3}$