Finite Math Examples

$\frac{\frac{5}{6}}{\frac{4}{6}}$

Step 1

Cancel the common factor of $4$ and $6$ .

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Step 1.1

Factor $2$ out of $4$ .

$\frac{\frac{5}{6}}{\frac{2 (2)}{6}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $2$ out of $6$ .

$\frac{\frac{5}{6}}{\frac{2 \cdot 2}{2 \cdot 3}}$

Step 1.2.2

Cancel the common factor.

$\frac{\frac{5}{6}}{\frac{2 \cdot 2}{2 \cdot 3}}$

Step 1.2.3

Rewrite the expression.

$\frac{\frac{5}{6}}{\frac{2}{3}}$

$\frac{\frac{5}{6}}{\frac{2}{3}}$

$\frac{\frac{5}{6}}{\frac{2}{3}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{5}{6} \cdot \frac{3}{2}$

Step 3

Cancel the common factor of $3$ .

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Step 3.1

Factor $3$ out of $6$ .

$\frac{5}{3 (2)} \cdot \frac{3}{2}$

Step 3.2

Cancel the common factor.

$\frac{5}{3 \cdot 2} \cdot \frac{3}{2}$

Step 3.3

Rewrite the expression.

$\frac{5}{2} \cdot \frac{1}{2}$

$\frac{5}{2} \cdot \frac{1}{2}$

Step 4

Multiply $\frac{5}{2}$ by $\frac{1}{2}$ .

$\frac{5}{2 \cdot 2}$

Step 5

Multiply $2$ by $2$ .

$\frac{5}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{4}$

Decimal Form:

$1.25$

Mixed Number Form:

$1 \frac{1}{4}$

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