Pre-Algebra Examples

$\frac{1}{2} + \frac{16}{5}$

Step 1

To write $\frac{1}{2}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{1}{2} \cdot \frac{5}{5} + \frac{16}{5}$

Step 2

To write $\frac{16}{5}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{1}{2} \cdot \frac{5}{5} + \frac{16}{5} \cdot \frac{2}{2}$

Step 3

Write each expression with a common denominator of $10$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{1}{2}$ by $\frac{5}{5}$ .

$\frac{5}{2 \cdot 5} + \frac{16}{5} \cdot \frac{2}{2}$

Step 3.2

Multiply $2$ by $5$ .

$\frac{5}{10} + \frac{16}{5} \cdot \frac{2}{2}$

Step 3.3

Multiply $\frac{16}{5}$ by $\frac{2}{2}$ .

$\frac{5}{10} + \frac{16 \cdot 2}{5 \cdot 2}$

Step 3.4

Multiply $5$ by $2$ .

$\frac{5}{10} + \frac{16 \cdot 2}{10}$

Step 4

Combine the numerators over the common denominator.

$\frac{5 + 16 \cdot 2}{10}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $16$ by $2$ .

$\frac{5 + 32}{10}$

Step 5.2

Add $5$ and $32$ .

$\frac{37}{10}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{37}{10}$

Decimal Form:

$3.7$

Mixed Number Form:

$3 \frac{7}{10}$