Basic Math Examples

$\frac{15 p - 3}{6} \div \frac{10 p - 2}{3}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{15 p - 3}{6} \cdot \frac{3}{10 p - 2}$

Step 2

Simplify terms.

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Step 2.1

Cancel the common factor of $3$ .

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Step 2.1.1

Factor $3$ out of $6$ .

$\frac{15 p - 3}{3 (2)} \cdot \frac{3}{10 p - 2}$

Step 2.1.2

Cancel the common factor.

$\frac{15 p - 3}{3 \cdot 2} \cdot \frac{3}{10 p - 2}$

Step 2.1.3

Rewrite the expression.

$\frac{15 p - 3}{2} \cdot \frac{1}{10 p - 2}$

Step 2.2

Multiply $\frac{15 p - 3}{2}$ by $\frac{1}{10 p - 2}$ .

$\frac{15 p - 3}{2 (10 p - 2)}$

Step 2.3

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

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Step 2.3.1

Factor $3$ out of $15 p$ .

$\frac{3 (5 p) - 3}{2 (10 p - 2)}$

Step 2.3.2

Factor $3$ out of $- 3$ .

$\frac{3 (5 p) + 3 (- 1)}{2 (10 p - 2)}$

Step 2.3.3

Factor $3$ out of $3 (5 p) + 3 (- 1)$ .

$\frac{3 (5 p - 1)}{2 (10 p - 2)}$

Step 3

Simplify the denominator.

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Step 3.1

Factor $2$ out of $10 p - 2$ .

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Step 3.1.1

Factor $2$ out of $10 p$ .

$\frac{3 (5 p - 1)}{2 (2 (5 p) - 2)}$

Step 3.1.2

Factor $2$ out of $- 2$ .

$\frac{3 (5 p - 1)}{2 (2 (5 p) + 2 (- 1))}$

Step 3.1.3

Factor $2$ out of $2 (5 p) + 2 (- 1)$ .

$\frac{3 (5 p - 1)}{2 (2 (5 p - 1))}$

$\frac{3 (5 p - 1)}{2 \cdot 2 (5 p - 1)}$

Step 3.2

Multiply $2$ by $2$ .

$\frac{3 (5 p - 1)}{4 (5 p - 1)}$

Step 4

Cancel the common factor of $5 p - 1$ .

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Step 4.1

Cancel the common factor.

$\frac{3 (5 p - 1)}{4 (5 p - 1)}$

Step 4.2

Rewrite the expression.

$\frac{3}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{4}$

Decimal Form:

$0.75$