Basic Math Examples

\frac{12}{16} + \frac{5}{8}

$\frac{12}{16} + \frac{5}{8}$

Step 1

Cancel the common factor of

12

$12$ and

16

$16$ .

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Step 1.1

Factor

4

$4$ out of

12

$12$ .

\frac{4 (3)}{16} + \frac{5}{8}

$\frac{4 (3)}{16} + \frac{5}{8}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor

4

$4$ out of

16

$16$ .

\frac{4 \cdot 3}{4 \cdot 4} + \frac{5}{8}

$\frac{4 \cdot 3}{4 \cdot 4} + \frac{5}{8}$

Step 1.2.2

Cancel the common factor.

$\frac{4 \cdot 3}{4 \cdot 4} + \frac{5}{8}$

Step 1.2.3

Rewrite the expression.

$\frac{3}{4} + \frac{5}{8}$

Step 2

To write

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

$\frac{2}{2}$ .

$\frac{3}{4} \cdot \frac{2}{2} + \frac{5}{8}$

Step 3

Write each expression with a common denominator of

$8$ , by multiplying each by an appropriate factor of

$1$ .

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Step 3.1

Multiply

$\frac{3}{4}$ by

$\frac{2}{2}$ .

$\frac{3 \cdot 2}{4 \cdot 2} + \frac{5}{8}$

Step 3.2

Multiply

$4$ by

$2$ .

$\frac{3 \cdot 2}{8} + \frac{5}{8}$

Step 4

Combine the numerators over the common denominator.

$\frac{3 \cdot 2 + 5}{8}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$3$ by

$2$ .

$\frac{6 + 5}{8}$

Step 5.2

Add

$6$ and

$5$ .

$\frac{11}{8}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{8}$

Decimal Form:

$1.375$

Mixed Number Form:

$1 \frac{3}{8}$