Finite Math Examples

$\frac{\frac{10}{90}}{\frac{64}{90}}$

Step 1

Cancel the common factor of $10$ and $90$ .

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Step 1.1

Factor $10$ out of $10$ .

$\frac{\frac{10 (1)}{90}}{\frac{64}{90}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $10$ out of $90$ .

$\frac{\frac{10 \cdot 1}{10 \cdot 9}}{\frac{64}{90}}$

Step 1.2.2

Cancel the common factor.

$\frac{\frac{10 \cdot 1}{10 \cdot 9}}{\frac{64}{90}}$

Step 1.2.3

Rewrite the expression.

$\frac{\frac{1}{9}}{\frac{64}{90}}$

Step 2

Cancel the common factor of $64$ and $90$ .

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Step 2.1

Factor $2$ out of $64$ .

$\frac{\frac{1}{9}}{\frac{2 (32)}{90}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $90$ .

$\frac{\frac{1}{9}}{\frac{2 \cdot 32}{2 \cdot 45}}$

Step 2.2.2

Cancel the common factor.

$\frac{\frac{1}{9}}{\frac{2 \cdot 32}{2 \cdot 45}}$

Step 2.2.3

Rewrite the expression.

$\frac{\frac{1}{9}}{\frac{32}{45}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{1}{9} \cdot \frac{45}{32}$

Step 4

Cancel the common factor of $9$ .

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Step 4.1

Factor $9$ out of $45$ .

$\frac{1}{9} \cdot \frac{9 (5)}{32}$

Step 4.2

Cancel the common factor.

$\frac{1}{9} \cdot \frac{9 \cdot 5}{32}$

Step 4.3

Rewrite the expression.

$\frac{5}{32}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{32}$

Decimal Form:

$0.15625$