Evaluate 17+8/(13+19)

$17 + \frac{8}{13 + 19}$

Step 1

Simplify each term.

Add $13$ and $19$ .

$17 + \frac{8}{32}$

Cancel the common factor of $8$ and $32$ .

Factor $8$ out of $8$ .

$17 + \frac{8 (1)}{32}$

Cancel the common factors.

Factor $8$ out of $32$ .

$17 + \frac{8 \cdot 1}{8 \cdot 4}$

Cancel the common factor.

$17 + \frac{8 \cdot 1}{8 \cdot 4}$

Rewrite the expression.

$17 + \frac{1}{4}$

Step 2

To write $17$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$17 \cdot \frac{4}{4} + \frac{1}{4}$

Step 3

Combine $17$ and $\frac{4}{4}$ .

$\frac{17 \cdot 4}{4} + \frac{1}{4}$

Step 4

Combine the numerators over the common denominator.

$\frac{17 \cdot 4 + 1}{4}$

Step 5

Simplify the numerator.

Multiply $17$ by $4$ .

$\frac{68 + 1}{4}$

Add $68$ and $1$ .

$\frac{69}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{69}{4}$

Decimal Form:

$17.25$

Mixed Number Form:

$17 \frac{1}{4}$