Basic Math Examples

$\frac{k + 3}{6 k} \div \frac{4 k - 5}{3 k}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{k + 3}{6 k} \cdot \frac{3 k}{4 k - 5}$

Step 2

Cancel the common factor of $3 k$ .

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Step 2.1

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

$\frac{k + 3}{3 k (2)} \cdot \frac{3 k}{4 k - 5}$

Step 2.2

Cancel the common factor.

$\frac{k + 3}{3 k \cdot 2} \cdot \frac{3 k}{4 k - 5}$

Step 2.3

Rewrite the expression.

$\frac{k + 3}{2} \cdot \frac{1}{4 k - 5}$

Step 3

Multiply $\frac{k + 3}{2}$ by $\frac{1}{4 k - 5}$ .

$\frac{k + 3}{2 (4 k - 5)}$