Basic Math Examples

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

Step 1

Find the common denominator.

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Step 1.1

Multiply $\frac{1}{2}$ by $\frac{24}{24}$ .

$\frac{1}{2} \cdot \frac{24}{24} + \frac{1}{3} + \frac{3}{16}$

Step 1.2

Multiply $\frac{1}{2}$ by $\frac{24}{24}$ .

$\frac{24}{2 \cdot 24} + \frac{1}{3} + \frac{3}{16}$

Step 1.3

Multiply $\frac{1}{3}$ by $\frac{16}{16}$ .

$\frac{24}{2 \cdot 24} + \frac{1}{3} \cdot \frac{16}{16} + \frac{3}{16}$

Step 1.4

Multiply $\frac{1}{3}$ by $\frac{16}{16}$ .

$\frac{24}{2 \cdot 24} + \frac{16}{3 \cdot 16} + \frac{3}{16}$

Step 1.5

Multiply $\frac{3}{16}$ by $\frac{3}{3}$ .

$\frac{24}{2 \cdot 24} + \frac{16}{3 \cdot 16} + \frac{3}{16} \cdot \frac{3}{3}$

Step 1.6

Multiply $\frac{3}{16}$ by $\frac{3}{3}$ .

$\frac{24}{2 \cdot 24} + \frac{16}{3 \cdot 16} + \frac{3 \cdot 3}{16 \cdot 3}$

Step 1.7

Multiply $2$ by $24$ .

$\frac{24}{48} + \frac{16}{3 \cdot 16} + \frac{3 \cdot 3}{16 \cdot 3}$

Step 1.8

Multiply $3$ by $16$ .

$\frac{24}{48} + \frac{16}{48} + \frac{3 \cdot 3}{16 \cdot 3}$

Step 1.9

Reorder the factors of $16 \cdot 3$ .

$\frac{24}{48} + \frac{16}{48} + \frac{3 \cdot 3}{3 \cdot 16}$

Step 1.10

Multiply $3$ by $16$ .

$\frac{24}{48} + \frac{16}{48} + \frac{3 \cdot 3}{48}$

Step 2

Combine the numerators over the common denominator.

$\frac{24 + 16 + 3 \cdot 3}{48}$

Step 3

Simplify the expression.

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Step 3.1

Multiply $3$ by $3$ .

$\frac{24 + 16 + 9}{48}$

Step 3.2

Add $24$ and $16$ .

$\frac{40 + 9}{48}$

Step 3.3

Add $40$ and $9$ .

$\frac{49}{48}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{49}{48}$

Decimal Form:

$1.0208\overline{3}$

Mixed Number Form:

$1 \frac{1}{48}$