Basic Math Examples

$\frac{y^{2}}{2 y - 1} \div \frac{2 y}{2 y + 3}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{y^{2}}{2 y - 1} \cdot \frac{2 y + 3}{2 y}$

Step 2

Cancel the common factor of $y$ .

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Step 2.1

Factor $y$ out of $y^{2}$ .

$\frac{y \cdot y}{2 y - 1} \cdot \frac{2 y + 3}{2 y}$

Step 2.2

Factor $y$ out of $2 y$ .

$\frac{y \cdot y}{2 y - 1} \cdot \frac{2 y + 3}{y \cdot 2}$

Step 2.3

Cancel the common factor.

$\frac{y \cdot y}{2 y - 1} \cdot \frac{2 y + 3}{y \cdot 2}$

Step 2.4

Rewrite the expression.

$\frac{y}{2 y - 1} \cdot \frac{2 y + 3}{2}$

Step 3

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

$\frac{y (2 y + 3)}{(2 y - 1) \cdot 2}$

Step 4

Move $2$ to the left of $2 y - 1$ .

$\frac{y (2 y + 3)}{2 (2 y - 1)}$