Finite Math Examples

$\frac{78 - 18}{52 - 16}$

Step 1

Cancel the common factor of $78 - 18$ and $52 - 16$ .

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Step 1.1

Factor $2$ out of $78$ .

$\frac{2 (39) - 18}{52 - 16}$

Step 1.2

Factor $2$ out of $- 18$ .

$\frac{2 \cdot 39 + 2 \cdot - 9}{52 - 16}$

Step 1.3

Factor $2$ out of $2 \cdot 39 + 2 \cdot - 9$ .

$\frac{2 \cdot (39 - 9)}{52 - 16}$

Step 1.4

Cancel the common factors.

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Step 1.4.1

Factor $2$ out of $52$ .

$\frac{2 \cdot (39 - 9)}{2 (26) - 16}$

Step 1.4.2

Factor $2$ out of $- 16$ .

$\frac{2 \cdot (39 - 9)}{2 \cdot 26 + 2 \cdot - 8}$

Step 1.4.3

Factor $2$ out of $2 \cdot 26 + 2 \cdot - 8$ .

$\frac{2 \cdot (39 - 9)}{2 \cdot (26 - 8)}$

Step 1.4.4

Cancel the common factor.

$\frac{2 \cdot (39 - 9)}{2 \cdot (26 - 8)}$

Step 1.4.5

Rewrite the expression.

$\frac{39 - 9}{26 - 8}$

$\frac{39 - 9}{26 - 8}$

$\frac{39 - 9}{26 - 8}$

Step 2

Simplify by subtracting numbers.

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Step 2.1

Subtract $9$ from $39$ .

$\frac{30}{26 - 8}$

Step 2.2

Subtract $8$ from $26$ .

$\frac{30}{18}$

$\frac{30}{18}$

Step 3

Cancel the common factor of $30$ and $18$ .

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Step 3.1

Factor $6$ out of $30$ .

$\frac{6 (5)}{18}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $6$ out of $18$ .

$\frac{6 \cdot 5}{6 \cdot 3}$

Step 3.2.2

Cancel the common factor.

$\frac{6 \cdot 5}{6 \cdot 3}$

Step 3.2.3

Rewrite the expression.

$\frac{5}{3}$

$\frac{5}{3}$

$\frac{5}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{3}$

Decimal Form:

$1.\overline{6}$

Mixed Number Form:

$1 \frac{2}{3}$

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