Finite Math Examples

$\frac{5 (112) - 16 \cdot 18}{5 (110) - {(16)}^{2}}$

Step 1

Simplify the numerator.

Tap for more steps...

Step 1.1

Multiply $5$ by $112$ .

$\frac{560 - 16 \cdot 18}{5 (110) - 16^{2}}$

Step 1.2

Multiply $- 16$ by $18$ .

$\frac{560 - 288}{5 (110) - 16^{2}}$

Step 1.3

Subtract $288$ from $560$ .

$\frac{272}{5 (110) - 16^{2}}$

$\frac{272}{5 (110) - 16^{2}}$

Step 2

Simplify the denominator.

Tap for more steps...

Step 2.1

Multiply $5$ by $110$ .

$\frac{272}{550 - 16^{2}}$

Step 2.2

Raise $16$ to the power of $2$ .

$\frac{272}{550 - 1 \cdot 256}$

Step 2.3

Multiply $- 1$ by $256$ .

$\frac{272}{550 - 256}$

Step 2.4

Subtract $256$ from $550$ .

$\frac{272}{294}$

$\frac{272}{294}$

Step 3

Cancel the common factor of $272$ and $294$ .

Tap for more steps...

Step 3.1

Factor $2$ out of $272$ .

$\frac{2 (136)}{294}$

Step 3.2

Cancel the common factors.

Tap for more steps...

Step 3.2.1

Factor $2$ out of $294$ .

$\frac{2 \cdot 136}{2 \cdot 147}$

Step 3.2.2

Cancel the common factor.

$\frac{2 \cdot 136}{2 \cdot 147}$

Step 3.2.3

Rewrite the expression.

$\frac{136}{147}$

$\frac{136}{147}$

$\frac{136}{147}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{136}{147}$

Decimal Form:

$0.92517006 \dots$

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