Finite Math Examples

$(\frac{12}{32}) (\frac{14}{31})$

Step 1

Cancel the common factor of $2$ .

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Step 1.1

Factor $2$ out of $32$ .

$\frac{12}{2 (16)} \cdot \frac{14}{31}$

Step 1.2

Factor $2$ out of $14$ .

$\frac{12}{2 \cdot 16} \cdot \frac{2 \cdot 7}{31}$

Step 1.3

Cancel the common factor.

$\frac{12}{2 \cdot 16} \cdot \frac{2 \cdot 7}{31}$

Step 1.4

Rewrite the expression.

$\frac{12}{16} \cdot \frac{7}{31}$

Step 2

Multiply $\frac{12}{16}$ by $\frac{7}{31}$ .

$\frac{12 \cdot 7}{16 \cdot 31}$

Step 3

Multiply.

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Step 3.1

Multiply $12$ by $7$ .

$\frac{84}{16 \cdot 31}$

Step 3.2

Multiply $16$ by $31$ .

$\frac{84}{496}$

Step 4

Cancel the common factor of $84$ and $496$ .

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Step 4.1

Factor $4$ out of $84$ .

$\frac{4 (21)}{496}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $4$ out of $496$ .

$\frac{4 \cdot 21}{4 \cdot 124}$

Step 4.2.2

Cancel the common factor.

$\frac{4 \cdot 21}{4 \cdot 124}$

Step 4.2.3

Rewrite the expression.

$\frac{21}{124}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{21}{124}$

Decimal Form:

$0.16935483 \dots$