Basic Math Examples

$\frac{1}{2} + \frac{3}{4} + \frac{3}{16} + \frac{1}{16}$

Step 1

Combine the numerators over the common denominator.

$\frac{1}{2} + \frac{3}{4} + \frac{3 + 1}{16}$

Step 2

Add $3$ and $1$ .

$\frac{1}{2} + \frac{3}{4} + \frac{4}{16}$

Step 3

Find the common denominator.

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Step 3.1

Multiply $\frac{1}{2}$ by $\frac{8}{8}$ .

$\frac{1}{2} \cdot \frac{8}{8} + \frac{3}{4} + \frac{4}{16}$

Step 3.2

Multiply $\frac{1}{2}$ by $\frac{8}{8}$ .

$\frac{8}{2 \cdot 8} + \frac{3}{4} + \frac{4}{16}$

Step 3.3

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

$\frac{8}{2 \cdot 8} + \frac{3}{4} \cdot \frac{4}{4} + \frac{4}{16}$

Step 3.4

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

$\frac{8}{2 \cdot 8} + \frac{3 \cdot 4}{4 \cdot 4} + \frac{4}{16}$

Step 3.5

Multiply $2$ by $8$ .

$\frac{8}{16} + \frac{3 \cdot 4}{4 \cdot 4} + \frac{4}{16}$

Step 3.6

Multiply $4$ by $4$ .

$\frac{8}{16} + \frac{3 \cdot 4}{16} + \frac{4}{16}$

Step 4

Combine the numerators over the common denominator.

$\frac{8 + 3 \cdot 4 + 4}{16}$

Step 5

Simplify the expression.

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Step 5.1

Multiply $3$ by $4$ .

$\frac{8 + 12 + 4}{16}$

Step 5.2

Add $8$ and $12$ .

$\frac{20 + 4}{16}$

Step 5.3

Add $20$ and $4$ .

$\frac{24}{16}$

Step 6

Cancel the common factor of $24$ and $16$ .

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Step 6.1

Factor $8$ out of $24$ .

$\frac{8 (3)}{16}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor $8$ out of $16$ .

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

Step 6.2.2

Cancel the common factor.

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

Step 6.2.3

Rewrite the expression.

$\frac{3}{2}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{2}$

Decimal Form:

$1.5$

Mixed Number Form:

$1 \frac{1}{2}$