Finite Math Examples

$\frac{3 x}{5} \cdot \frac{45 x}{12}$

Step 1

Cancel the common factor of $3$ .

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Step 1.1

Factor $3$ out of $3 x$ .

$\frac{3 (x)}{5} \cdot \frac{45 x}{12}$

Step 1.2

Factor $3$ out of $12$ .

$\frac{3 (x)}{5} \cdot \frac{45 x}{3 (4)}$

Step 1.3

Cancel the common factor.

$\frac{3 x}{5} \cdot \frac{45 x}{3 \cdot 4}$

Step 1.4

Rewrite the expression.

$\frac{x}{5} \cdot \frac{45 x}{4}$

$\frac{x}{5} \cdot \frac{45 x}{4}$

Step 2

Cancel the common factor of $5$ .

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Step 2.1

Factor $5$ out of $45 x$ .

$\frac{x}{5} \cdot \frac{5 (9 x)}{4}$

Step 2.2

Cancel the common factor.

$\frac{x}{5} \cdot \frac{5 (9 x)}{4}$

Step 2.3

Rewrite the expression.

$x \cdot \frac{9 x}{4}$

$x \cdot \frac{9 x}{4}$

Step 3

Combine $x$ and $\frac{9 x}{4}$ .

$\frac{x (9 x)}{4}$

Step 4

Raise $x$ to the power of $1$ .

$\frac{9 (x^{1} x)}{4}$

Step 5

Raise $x$ to the power of $1$ .

$\frac{9 (x^{1} x^{1})}{4}$

Step 6

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{9 x^{1 + 1}}{4}$

Step 7

Add $1$ and $1$ .

$\frac{9 x^{2}}{4}$

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