Basic Math Examples

$\frac{\frac{1}{5 y}}{\frac{6}{y^{2}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{1}{5 y} \cdot \frac{y^{2}}{6}$

Step 2

Combine.

$\frac{1 y^{2}}{5 y \cdot 6}$

Step 3

Cancel the common factor of $y^{2}$ and $y$ .

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Step 3.1

Factor $y$ out of $1 y^{2}$ .

$\frac{y (1 y)}{5 y \cdot 6}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $y$ out of $5 y \cdot 6$ .

$\frac{y (1 y)}{y (5 \cdot 6)}$

Step 3.2.2

Cancel the common factor.

$\frac{y (1 y)}{y (5 \cdot 6)}$

Step 3.2.3

Rewrite the expression.

$\frac{1 y}{5 \cdot 6}$

Step 4

Multiply.

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Step 4.1

Multiply $y$ by $1$ .

$\frac{y}{5 \cdot 6}$

Step 4.2

Multiply $5$ by $6$ .

$\frac{y}{30}$