Pre-Algebra Examples

$\frac{\frac{k + 5}{6 k}}{\frac{5 k - 3}{3 k}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{k + 5}{6 k} \cdot \frac{3 k}{5 k - 3}$

Step 2

Cancel the common factor of $3 k$ .

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Step 2.1

Factor $3 k$ out of $6 k$ .

$\frac{k + 5}{3 k (2)} \cdot \frac{3 k}{5 k - 3}$

Step 2.2

Cancel the common factor.

$\frac{k + 5}{3 k \cdot 2} \cdot \frac{3 k}{5 k - 3}$

Step 2.3

Rewrite the expression.

$\frac{k + 5}{2} \cdot \frac{1}{5 k - 3}$

Step 3

Multiply $\frac{k + 5}{2}$ by $\frac{1}{5 k - 3}$ .

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