Basic Math Examples

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

Step 1

To write

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

$\frac{3}{3}$ .

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

Step 2

Write each expression with a common denominator of

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

$1$ .

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Step 2.1

Multiply

$\frac{1}{4}$ by

$\frac{3}{3}$ .

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

Step 2.2

Multiply

$4$ by

$3$ .

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

Step 3

Simplify the expression.

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Step 3.1

Combine the numerators over the common denominator.

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

Step 3.2

Add

$11$ and

$3$ .

$\frac{14}{12}$

Step 4

Cancel the common factor of

$14$ and

$12$ .

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Step 4.1

Factor

$2$ out of

$14$ .

$\frac{2 (7)}{12}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor

$2$ out of

$12$ .

$\frac{2 \cdot 7}{2 \cdot 6}$

Step 4.2.2

Cancel the common factor.

$\frac{2 \cdot 7}{2 \cdot 6}$

Step 4.2.3

Rewrite the expression.

$\frac{7}{6}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{6}$

Decimal Form:

$1.1\overline{6}$

Mixed Number Form:

$1 \frac{1}{6}$