Basic Math Examples

$f = \frac{9}{5} \cdot (27) + 32$

Step 1

Multiply $\frac{9}{5}$ by $27$ .

$f = \frac{9}{5} \cdot 27 + 32$

Step 2

Simplify $\frac{9}{5} \cdot 27 + 32$ .

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Step 2.1

Multiply $\frac{9}{5} \cdot 27$ .

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Step 2.1.1

Combine $\frac{9}{5}$ and $27$ .

$f = \frac{9 \cdot 27}{5} + 32$

Step 2.1.2

Multiply $9$ by $27$ .

$f = \frac{243}{5} + 32$

Step 2.2

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

$f = \frac{243}{5} + 32 \cdot \frac{5}{5}$

Step 2.3

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

$f = \frac{243}{5} + \frac{32 \cdot 5}{5}$

Step 2.4

Combine the numerators over the common denominator.

$f = \frac{243 + 32 \cdot 5}{5}$

Step 2.5

Simplify the numerator.

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Step 2.5.1

Multiply $32$ by $5$ .

$f = \frac{243 + 160}{5}$

Step 2.5.2

Add $243$ and $160$ .

$f = \frac{403}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$f = \frac{403}{5}$

Decimal Form:

$f = 80.6$

Mixed Number Form:

$f = 80 \frac{3}{5}$