Basic Math Examples

$\frac{\frac{k + 5}{32 k}}{\frac{5 k - 1}{8 k}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{k + 5}{32 k} \cdot \frac{8 k}{5 k - 1}$

Step 2

Cancel the common factor of $8 k$ .

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Step 2.1

Factor $8 k$ out of $32 k$ .

$\frac{k + 5}{8 k (4)} \cdot \frac{8 k}{5 k - 1}$

Step 2.2

Cancel the common factor.

$\frac{k + 5}{8 k \cdot 4} \cdot \frac{8 k}{5 k - 1}$

Step 2.3

Rewrite the expression.

$\frac{k + 5}{4} \cdot \frac{1}{5 k - 1}$

Step 3

Multiply $\frac{k + 5}{4}$ by $\frac{1}{5 k - 1}$ .

$\frac{k + 5}{4 (5 k - 1)}$