Algebra Examples

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

Step 1

To divide by a fraction, multiply by its reciprocal.

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

Step 2

Combine.

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

Step 3

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

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Step 3.1

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

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

Step 3.2

Cancel the common factors.

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Step 3.2.1

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

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

Step 3.2.2

Cancel the common factor.

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

Step 3.2.3

Rewrite the expression.

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

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

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

Step 4

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

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Step 4.1

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

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

Step 4.2

Cancel the common factors.

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Step 4.2.1

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

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

Step 4.2.2

Cancel the common factor.

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

Step 4.2.3

Rewrite the expression.

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

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

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

Step 5

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

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Step 5.1

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

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

Step 5.2

Cancel the common factors.

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Step 5.2.1

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

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

Step 5.2.2

Cancel the common factor.

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

Step 5.2.3

Rewrite the expression.

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

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

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

Step 6

Cancel the common factor of $2$ .

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Step 6.1

Cancel the common factor.

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

Step 6.2

Rewrite the expression.

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

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

Step 7

Cancel the common factor of $k$ .

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Step 7.1

Cancel the common factor.

$\frac{j k}{k}$

Step 7.2

Divide $j$ by $1$ .

$j$

$j$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$