Finite Math Examples

$2 = - \frac{5}{4} + b$

Step 1

Rewrite the equation as $- \frac{5}{4} + b = 2$ .

$- \frac{5}{4} + b = 2$

Step 2

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

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Step 2.1

Add $\frac{5}{4}$ to both sides of the equation.

$b = 2 + \frac{5}{4}$

Step 2.2

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

$b = 2 \cdot \frac{4}{4} + \frac{5}{4}$

Step 2.3

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

$b = \frac{2 \cdot 4}{4} + \frac{5}{4}$

Step 2.4

Combine the numerators over the common denominator.

$b = \frac{2 \cdot 4 + 5}{4}$

Step 2.5

Simplify the numerator.

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Step 2.5.1

Multiply $2$ by $4$ .

$b = \frac{8 + 5}{4}$

Step 2.5.2

Add $8$ and $5$ .

$b = \frac{13}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$b = \frac{13}{4}$

Decimal Form:

$b = 3.25$

Mixed Number Form:

$b = 3 \frac{1}{4}$