Basic Math Examples

$\frac{12}{16} + \frac{6}{8}$

Step 1

Simplify each term.

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Step 1.1

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

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Step 1.1.1

Factor $4$ out of $12$ .

$\frac{4 (3)}{16} + \frac{6}{8}$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $4$ out of $16$ .

$\frac{4 \cdot 3}{4 \cdot 4} + \frac{6}{8}$

Step 1.1.2.2

Cancel the common factor.

$\frac{4 \cdot 3}{4 \cdot 4} + \frac{6}{8}$

Step 1.1.2.3

Rewrite the expression.

$\frac{3}{4} + \frac{6}{8}$

$\frac{3}{4} + \frac{6}{8}$

$\frac{3}{4} + \frac{6}{8}$

Step 1.2

Cancel the common factor of $6$ and $8$ .

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Step 1.2.1

Factor $2$ out of $6$ .

$\frac{3}{4} + \frac{2 (3)}{8}$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor $2$ out of $8$ .

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

Step 1.2.2.2

Cancel the common factor.

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

Step 1.2.2.3

Rewrite the expression.

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

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

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

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

Step 2

Simplify terms.

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Step 2.1

Combine the numerators over the common denominator.

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

Step 2.2

Add $3$ and $3$ .

$\frac{6}{4}$

Step 2.3

Cancel the common factor of $6$ and $4$ .

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Step 2.3.1

Factor $2$ out of $6$ .

$\frac{2 (3)}{4}$

Step 2.3.2

Cancel the common factors.

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Step 2.3.2.1

Factor $2$ out of $4$ .

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

Step 2.3.2.2

Cancel the common factor.

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

Step 2.3.2.3

Rewrite the expression.

$\frac{3}{2}$

$\frac{3}{2}$

$\frac{3}{2}$

$\frac{3}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{2}$

Decimal Form:

$1.5$

Mixed Number Form:

$1 \frac{1}{2}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$