Finite Math Examples

$h (5) = \frac{3}{4} x + 2$

Step 1

Replace the variable $x$ with $5$ in the expression.

$h (5) = \frac{3}{4} \cdot (5) + 2$

Step 2

Simplify the result.

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Step 2.1

Multiply $\frac{3}{4} (5)$ .

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Step 2.1.1

Combine $\frac{3}{4}$ and $5$ .

$h (5) = \frac{3 \cdot 5}{4} + 2$

Step 2.1.2

Multiply $3$ by $5$ .

$h (5) = \frac{15}{4} + 2$

Step 2.2

To write $2$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$h (5) = \frac{15}{4} + 2 \cdot \frac{4}{4}$

Step 2.3

Combine $2$ and $\frac{4}{4}$ .

$h (5) = \frac{15}{4} + \frac{2 \cdot 4}{4}$

Step 2.4

Combine the numerators over the common denominator.

$h (5) = \frac{15 + 2 \cdot 4}{4}$

Step 2.5

Simplify the numerator.

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Step 2.5.1

Multiply $2$ by $4$ .

$h (5) = \frac{15 + 8}{4}$

Step 2.5.2

Add $15$ and $8$ .

$h (5) = \frac{23}{4}$

Step 2.6

The final answer is $\frac{23}{4}$ .

$\frac{23}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{23}{4}$

Decimal Form:

$5.75$

Mixed Number Form:

$5 \frac{3}{4}$

Step 4