Algebra Examples

$F (13) = \frac{9}{5} (13) + 32$

Step 1

Multiply $\frac{9}{5} (13)$ .

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Step 1.1

Combine $\frac{9}{5}$ and $13$ .

$F (13) = \frac{9 \cdot 13}{5} + 32$

Step 1.2

Multiply $9$ by $13$ .

$F (13) = \frac{117}{5} + 32$

Step 2

To write $32$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$F (13) = \frac{117}{5} + 32 \cdot \frac{5}{5}$

Step 3

Combine $32$ and $\frac{5}{5}$ .

$F (13) = \frac{117}{5} + \frac{32 \cdot 5}{5}$

Step 4

Combine the numerators over the common denominator.

$F (13) = \frac{117 + 32 \cdot 5}{5}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $32$ by $5$ .

$F (13) = \frac{117 + 160}{5}$

Step 5.2

Add $117$ and $160$ .

$F (13) = \frac{277}{5}$