Simplify (-5jk)/(35j^2k^2)

$\frac{- 5 j k}{35 j^{2} k^{2}}$

Step 1

Cancel the common factor of $- 5$ and $35$ .

Factor $5$ out of $- 5 j k$ .

$\frac{5 (- j k)}{35 j^{2} k^{2}}$

Cancel the common factors.

Factor $5$ out of $35 j^{2} k^{2}$ .

$\frac{5 (- j k)}{5 (7 j^{2} k^{2})}$

Cancel the common factor.

$\frac{5 (- j k)}{5 (7 j^{2} k^{2})}$

Rewrite the expression.

$\frac{- j k}{7 j^{2} k^{2}}$

$\frac{- j k}{7 j^{2} k^{2}}$

$\frac{- j k}{7 j^{2} k^{2}}$

Step 2

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

Factor $j$ out of $- j k$ .

$\frac{j (- 1 k)}{7 j^{2} k^{2}}$

Cancel the common factors.

Factor $j$ out of $7 j^{2} k^{2}$ .

$\frac{j (- 1 k)}{j (7 j k^{2})}$

Cancel the common factor.

$\frac{j (- 1 k)}{j (7 j k^{2})}$

Rewrite the expression.

$\frac{- 1 k}{7 j k^{2}}$

$\frac{- 1 k}{7 j k^{2}}$

$\frac{- 1 k}{7 j k^{2}}$

Step 3

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

Factor $k$ out of $- 1 k$ .

$\frac{k \cdot - 1}{7 j k^{2}}$

Cancel the common factors.

Factor $k$ out of $7 j k^{2}$ .

$\frac{k \cdot - 1}{k (7 j k)}$

Cancel the common factor.

$\frac{k \cdot - 1}{k (7 j k)}$

Rewrite the expression.

$\frac{- 1}{7 j k}$

$\frac{- 1}{7 j k}$

$\frac{- 1}{7 j k}$

Step 4

Move the negative in front of the fraction.

$- \frac{1}{7 j k}$

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