Simplify ((6a^2)/(15a+10))÷(5/(15a+10))

$\frac{6 a^{2}}{15 a + 10} \div \frac{5}{15 a + 10}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{6 a^{2}}{15 a + 10} \cdot \frac{15 a + 10}{5}$

Step 2

Cancel the common factor of $15 a + 10$ .

Cancel the common factor.

$\frac{6 a^{2}}{15 a + 10} \cdot \frac{15 a + 10}{5}$

Rewrite the expression.

$6 a^{2} \frac{1}{5}$

Step 3

Combine $6$ and $\frac{1}{5}$ .

$a^{2} \frac{6}{5}$

Step 4

Combine $a^{2}$ and $\frac{6}{5}$ .

$\frac{a^{2} \cdot 6}{5}$

Step 5

Move $6$ to the left of $a^{2}$ .

$\frac{6 a^{2}}{5}$