Finite Math Examples

$\frac{\frac{42}{52}}{\frac{8}{52}}$

Step 1

Cancel the common factor of $42$ and $52$ .

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Step 1.1

Factor $2$ out of $42$ .

$\frac{\frac{2 (21)}{52}}{\frac{8}{52}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $2$ out of $52$ .

$\frac{\frac{2 \cdot 21}{2 \cdot 26}}{\frac{8}{52}}$

Step 1.2.2

Cancel the common factor.

$\frac{\frac{2 \cdot 21}{2 \cdot 26}}{\frac{8}{52}}$

Step 1.2.3

Rewrite the expression.

$\frac{\frac{21}{26}}{\frac{8}{52}}$

Step 2

Cancel the common factor of $8$ and $52$ .

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Step 2.1

Factor $4$ out of $8$ .

$\frac{\frac{21}{26}}{\frac{4 (2)}{52}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $4$ out of $52$ .

$\frac{\frac{21}{26}}{\frac{4 \cdot 2}{4 \cdot 13}}$

Step 2.2.2

Cancel the common factor.

$\frac{\frac{21}{26}}{\frac{4 \cdot 2}{4 \cdot 13}}$

Step 2.2.3

Rewrite the expression.

$\frac{\frac{21}{26}}{\frac{2}{13}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{21}{26} \cdot \frac{13}{2}$

Step 4

Cancel the common factor of $13$ .

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Step 4.1

Factor $13$ out of $26$ .

$\frac{21}{13 (2)} \cdot \frac{13}{2}$

Step 4.2

Cancel the common factor.

$\frac{21}{13 \cdot 2} \cdot \frac{13}{2}$

Step 4.3

Rewrite the expression.

$\frac{21}{2} \cdot \frac{1}{2}$

Step 5

Multiply $\frac{21}{2}$ by $\frac{1}{2}$ .

$\frac{21}{2 \cdot 2}$

Step 6

Multiply $2$ by $2$ .

$\frac{21}{4}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{21}{4}$

Decimal Form:

$5.25$

Mixed Number Form:

$5 \frac{1}{4}$