Finite Math Examples

$3 (\frac{3}{2}) + b = 5$

Step 1

Multiply $3 (\frac{3}{2})$ .

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Step 1.1

Combine $3$ and $\frac{3}{2}$ .

$\frac{3 \cdot 3}{2} + b = 5$

Step 1.2

Multiply $3$ by $3$ .

$\frac{9}{2} + b = 5$

Step 2

Move all terms not containing $b$ to the right side of the equation.

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Step 2.1

Subtract $\frac{9}{2}$ from both sides of the equation.

$b = 5 - \frac{9}{2}$

Step 2.2

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

$b = 5 \cdot \frac{2}{2} - \frac{9}{2}$

Step 2.3

Combine $5$ and $\frac{2}{2}$ .

$b = \frac{5 \cdot 2}{2} - \frac{9}{2}$

Step 2.4

Combine the numerators over the common denominator.

$b = \frac{5 \cdot 2 - 9}{2}$

Step 2.5

Simplify the numerator.

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Step 2.5.1

Multiply $5$ by $2$ .

$b = \frac{10 - 9}{2}$

Step 2.5.2

Subtract $9$ from $10$ .

$b = \frac{1}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$b = \frac{1}{2}$

Decimal Form:

$b = 0.5$