Finite Math Examples

$\frac{675}{6 + \frac{9}{3}}$

Step 1

Cancel the common factor of $9$ and $3$ .

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Step 1.1

Factor $3$ out of $9$ .

$\frac{675}{6 + \frac{3 \cdot 3}{3}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $3$ out of $3$ .

$\frac{675}{6 + \frac{3 \cdot 3}{3 (1)}}$

Step 1.2.2

Cancel the common factor.

$\frac{675}{6 + \frac{3 \cdot 3}{3 \cdot 1}}$

Step 1.2.3

Rewrite the expression.

$\frac{675}{6 + \frac{3}{1}}$

Step 1.2.4

Divide $3$ by $1$ .

$\frac{675}{6 + 3}$

$\frac{675}{6 + 3}$

$\frac{675}{6 + 3}$

Step 2

Cancel the common factor of $675$ and $6 + 3$ .

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Step 2.1

Factor $3$ out of $675$ .

$\frac{3 \cdot 225}{6 + 3}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $3$ out of $6$ .

$\frac{3 \cdot 225}{3 (2) + 3}$

Step 2.2.2

Factor $3$ out of $3$ .

$\frac{3 \cdot 225}{3 \cdot 2 + 3 \cdot 1}$

Step 2.2.3

Factor $3$ out of $3 \cdot 2 + 3 \cdot 1$ .

$\frac{3 \cdot 225}{3 \cdot (2 + 1)}$

Step 2.2.4

Cancel the common factor.

$\frac{3 \cdot 225}{3 \cdot (2 + 1)}$

Step 2.2.5

Rewrite the expression.

$\frac{225}{2 + 1}$

$\frac{225}{2 + 1}$

$\frac{225}{2 + 1}$

Step 3

Simplify the expression.

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Step 3.1

Add $2$ and $1$ .

$\frac{225}{3}$

Step 3.2

Divide $225$ by $3$ .

$75$

$75$

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