Basic Math Examples

$\frac{5}{b - 5} \div \frac{20}{3 b - 15}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{5}{b - 5} \cdot \frac{3 b - 15}{20}$

Step 2

Cancel the common factor of $5$ .

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Step 2.1

Factor $5$ out of $20$ .

$\frac{5}{b - 5} \cdot \frac{3 b - 15}{5 (4)}$

Step 2.2

Cancel the common factor.

$\frac{5}{b - 5} \cdot \frac{3 b - 15}{5 \cdot 4}$

Step 2.3

Rewrite the expression.

$\frac{1}{b - 5} \cdot \frac{3 b - 15}{4}$

Step 3

Multiply $\frac{1}{b - 5}$ by $\frac{3 b - 15}{4}$ .

$\frac{3 b - 15}{(b - 5) \cdot 4}$

Step 4

Factor $3$ out of $3 b - 15$ .

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Step 4.1

Factor $3$ out of $3 b$ .

$\frac{3 (b) - 15}{(b - 5) \cdot 4}$

Step 4.2

Factor $3$ out of $- 15$ .

$\frac{3 b + 3 \cdot - 5}{(b - 5) \cdot 4}$

Step 4.3

Factor $3$ out of $3 b + 3 \cdot - 5$ .

$\frac{3 (b - 5)}{(b - 5) \cdot 4}$

Step 5

Cancel the common factor of $b - 5$ .

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Step 5.1

Cancel the common factor.

$\frac{3 (b - 5)}{(b - 5) \cdot 4}$

Step 5.2

Rewrite the expression.

$\frac{3}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{4}$

Decimal Form:

$0.75$