Basic Math Examples

$s (15) = \frac{80 {(15)}^{2}}{15^{2} + 150}$

Step 1

Simplify.

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Step 1.1

Raise $15$ to the power of $2$ .

$s (15) = \frac{80 \cdot 225}{15^{2} + 150}$

Step 1.2

Multiply $80$ by $225$ .

$s (15) = \frac{18000}{15^{2} + 150}$

Step 1.3

Simplify the denominator.

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Step 1.3.1

Raise $15$ to the power of $2$ .

$s (15) = \frac{18000}{225 + 150}$

Step 1.3.2

Add $225$ and $150$ .

$s (15) = \frac{18000}{375}$

$s (15) = \frac{18000}{375}$

Step 1.4

Divide $18000$ by $375$ .

$s (15) = 48$

$s (15) = 48$

Step 2

Divide each term in $s (15) = 48$ by $15$ and simplify.

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Step 2.1

Divide each term in $s (15) = 48$ by $15$ .

$\frac{s (15)}{15} = \frac{48}{15}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $15$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{s \cdot 15}{15} = \frac{48}{15}$

Step 2.2.1.2

Divide $s$ by $1$ .

$s = \frac{48}{15}$

$s = \frac{48}{15}$

$s = \frac{48}{15}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Cancel the common factor of $48$ and $15$ .

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Step 2.3.1.1

Factor $3$ out of $48$ .

$s = \frac{3 (16)}{15}$

Step 2.3.1.2

Cancel the common factors.

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Step 2.3.1.2.1

Factor $3$ out of $15$ .

$s = \frac{3 \cdot 16}{3 \cdot 5}$

Step 2.3.1.2.2

Cancel the common factor.

$s = \frac{3 \cdot 16}{3 \cdot 5}$

Step 2.3.1.2.3

Rewrite the expression.

$s = \frac{16}{5}$

$s = \frac{16}{5}$

$s = \frac{16}{5}$

$s = \frac{16}{5}$

$s = \frac{16}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$s = \frac{16}{5}$

Decimal Form:

$s = 3.2$

Mixed Number Form:

$s = 3 \frac{1}{5}$

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