Pre-Algebra Examples

$\frac{\frac{\frac{x}{4 y}}{4 x}}{y}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{\frac{x}{4 y}}{4 x} \cdot \frac{1}{y}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{x}{4 y} \cdot \frac{1}{4 x} \frac{1}{y}$

Step 3

Cancel the common factor of $x$ .

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Step 3.1

Factor $x$ out of $4 x$ .

$\frac{x}{4 y} \cdot \frac{1}{x \cdot 4} \frac{1}{y}$

Step 3.2

Cancel the common factor.

$\frac{x}{4 y} \cdot \frac{1}{x \cdot 4} \frac{1}{y}$

Step 3.3

Rewrite the expression.

$\frac{1}{4 y} \cdot \frac{1}{4} \frac{1}{y}$

Step 4

Multiply $\frac{1}{4 y}$ by $\frac{1}{4}$ .

$\frac{1}{4 y \cdot 4} \cdot \frac{1}{y}$

Step 5

Multiply $4$ by $4$ .

$\frac{1}{16 y} \cdot \frac{1}{y}$

Step 6

Multiply $\frac{1}{16 y} \cdot \frac{1}{y}$ .

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Step 6.1

Multiply $\frac{1}{16 y}$ by $\frac{1}{y}$ .

$\frac{1}{16 y \cdot y}$

Step 6.2

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

$\frac{1}{16 (y^{1} y)}$

Step 6.3

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

$\frac{1}{16 (y^{1} y^{1})}$

Step 6.4

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

$\frac{1}{16 y^{1 + 1}}$

Step 6.5

Add $1$ and $1$ .

$\frac{1}{16 y^{2}}$