Pre-Algebra Examples

$\frac{2}{5 y} \div \frac{5 y}{11}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{2}{5 y} \cdot \frac{11}{5 y}$

Step 2

Multiply $\frac{2}{5 y} \cdot \frac{11}{5 y}$ .

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Step 2.1

Multiply $\frac{2}{5 y}$ by $\frac{11}{5 y}$ .

$\frac{2 \cdot 11}{5 y (5 y)}$

Step 2.2

Multiply $2$ by $11$ .

$\frac{22}{5 y (5 y)}$

Step 2.3

Multiply $5$ by $5$ .

$\frac{22}{25 y \cdot y}$

Step 2.4

Raise $y$ to the power of $1$ .

$\frac{22}{25 (y^{1} y)}$

Step 2.5

Raise $y$ to the power of $1$ .

$\frac{22}{25 (y^{1} y^{1})}$

Step 2.6

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{22}{25 y^{1 + 1}}$

Step 2.7

Add $1$ and $1$ .

$\frac{22}{25 y^{2}}$