Finite Math Examples

$b = \frac{24}{5} - 3 (\frac{5}{3})$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $3$ .

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Step 1.1.1

Factor $3$ out of $- 3$ .

$b = \frac{24}{5} + 3 (- 1) \frac{5}{3}$

Step 1.1.2

Cancel the common factor.

$b = \frac{24}{5} + 3 \cdot - 1 \frac{5}{3}$

Step 1.1.3

Rewrite the expression.

$b = \frac{24}{5} - 1 \cdot 5$

Step 1.2

Multiply $- 1$ by $5$ .

$b = \frac{24}{5} - 5$

Step 2

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

$b = \frac{24}{5} - 5 \cdot \frac{5}{5}$

Step 3

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

$b = \frac{24}{5} + \frac{- 5 \cdot 5}{5}$

Step 4

Combine the numerators over the common denominator.

$b = \frac{24 - 5 \cdot 5}{5}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $- 5$ by $5$ .

$b = \frac{24 - 25}{5}$

Step 5.2

Subtract $25$ from $24$ .

$b = \frac{- 1}{5}$

Step 6

Move the negative in front of the fraction.

$b = - \frac{1}{5}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$b = - \frac{1}{5}$

Decimal Form:

$b = - 0.2$