Finite Math Examples

$\frac{2 (\frac{a}{3 b})}{\frac{6 (a b)}{15 b}}$

Step 1

Cancel the common factor of $6$ and $15$ .

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Step 1.1

Factor $3$ out of $6 (a b)$ .

$\frac{2 (\frac{a}{3 b})}{\frac{3 (2 (a b))}{15 b}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $3$ out of $15 b$ .

$\frac{2 (\frac{a}{3 b})}{\frac{3 (2 (a b))}{3 (5 b)}}$

Step 1.2.2

Cancel the common factor.

$\frac{2 (\frac{a}{3 b})}{\frac{3 (2 (a b))}{3 (5 b)}}$

Step 1.2.3

Rewrite the expression.

$\frac{2 (\frac{a}{3 b})}{\frac{2 (a b)}{5 b}}$

Step 2

Cancel the common factor of $b$ .

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Step 2.1

Cancel the common factor.

$\frac{2 (\frac{a}{3 b})}{\frac{2 (a b)}{5 b}}$

Step 2.2

Rewrite the expression.

$\frac{2 (\frac{a}{3 b})}{\frac{2 (a)}{5}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$2 \frac{a}{3 b} \frac{5}{2 a}$

Step 4

Cancel the common factor of $2$ .

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Step 4.1

Factor $2$ out of $2 a$ .

$2 (\frac{a}{3 b}) \frac{5}{2 (a)}$

Step 4.2

Cancel the common factor.

$2 \frac{a}{3 b} \frac{5}{2 a}$

Step 4.3

Rewrite the expression.

$\frac{a}{3 b} \cdot \frac{5}{a}$

Step 5

Multiply $\frac{a}{3 b}$ by $\frac{5}{a}$ .

$\frac{a \cdot 5}{3 b a}$

Step 6

Cancel the common factor of $a$ .

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Step 6.1

Cancel the common factor.

$\frac{a \cdot 5}{3 b a}$

Step 6.2

Rewrite the expression.

$\frac{5}{3 b}$