Finite Math Examples

$(10) (\frac{1}{13}) + (- 4) (\frac{12}{13})$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Combine $10$ and $\frac{1}{13}$ .

$\frac{10}{13} + (- 4) (\frac{12}{13})$

Step 1.2

Multiply $(- 4) (\frac{12}{13})$ .

Tap for more steps...

Step 1.2.1

Combine $- 4$ and $\frac{12}{13}$ .

$\frac{10}{13} + \frac{- 4 \cdot 12}{13}$

Step 1.2.2

Multiply $- 4$ by $12$ .

$\frac{10}{13} + \frac{- 48}{13}$

$\frac{10}{13} + \frac{- 48}{13}$

Step 1.3

Move the negative in front of the fraction.

$\frac{10}{13} - \frac{48}{13}$

$\frac{10}{13} - \frac{48}{13}$

Step 2

Combine fractions.

Tap for more steps...

Step 2.1

Combine the numerators over the common denominator.

$\frac{10 - 48}{13}$

Step 2.2

Simplify the expression.

Tap for more steps...

Step 2.2.1

Subtract $48$ from $10$ .

$\frac{- 38}{13}$

Step 2.2.2

Move the negative in front of the fraction.

$- \frac{38}{13}$

$- \frac{38}{13}$

$- \frac{38}{13}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{38}{13}$

Decimal Form:

$- 2.\overline{923076}$

Mixed Number Form:

$- 2 \frac{12}{13}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$