Simplify ((3j^2)/(5k))÷((6j)/(10k))

$\frac{3 j^{2}}{5 k} \div \frac{6 j}{10 k}$

To divide by a fraction, multiply by its reciprocal.

$\frac{3 j^{2}}{5 k} \cdot \frac{10 k}{6 j}$

Combine.

$\frac{3 j^{2} (10 k)}{5 k (6 j)}$

Cancel the common factor of $3$ and $6$ .

Factor $3$ out of $3 j^{2} (10 k)$ .

$\frac{3 (j^{2} (10 k))}{5 k (6 j)}$

Cancel the common factors.

Factor $3$ out of $5 k (6 j)$ .

$\frac{3 (j^{2} (10 k))}{3 (5 k (2 j))}$

Cancel the common factor.

$\frac{3 (j^{2} (10 k))}{3 (5 k (2 j))}$

Rewrite the expression.

$\frac{j^{2} (10 k)}{5 k (2 j)}$

$\frac{j^{2} (10 k)}{5 k (2 j)}$

$\frac{j^{2} (10 k)}{5 k (2 j)}$

Cancel the common factor of $j^{2}$ and $j$ .

Factor $j$ out of $j^{2} (10 k)$ .

$\frac{j (j (10 k))}{5 k (2 j)}$

Cancel the common factors.

Factor $j$ out of $5 k (2 j)$ .

$\frac{j (j (10 k))}{j (5 k \cdot (2))}$

Cancel the common factor.

$\frac{j (j (10 k))}{j (5 k \cdot (2))}$

Rewrite the expression.

$\frac{j (10 k)}{5 k \cdot (2)}$

$\frac{j (10 k)}{5 k \cdot (2)}$

$\frac{j (10 k)}{5 k \cdot (2)}$

Cancel the common factor of $10$ and $5$ .

Factor $5$ out of $j (10 k)$ .

$\frac{5 (j (2 k))}{5 k \cdot (2)}$

Cancel the common factors.

Factor $5$ out of $5 k \cdot (2)$ .

$\frac{5 (j (2 k))}{5 (k \cdot (2))}$

Cancel the common factor.

$\frac{5 (j (2 k))}{5 (k \cdot (2))}$

Rewrite the expression.

$\frac{j (2 k)}{k \cdot (2)}$

$\frac{j (2 k)}{k \cdot (2)}$

$\frac{j (2 k)}{k \cdot (2)}$

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{j (2 k)}{k \cdot 2}$

Rewrite the expression.

$\frac{j (k)}{k}$

$\frac{j (k)}{k}$

Cancel the common factor of $k$ .

Cancel the common factor.

$\frac{j k}{k}$

Divide $j$ by $1$ .

$j$

$j$

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