Pre-Algebra Examples

$\frac{35}{x y^{2}} \div \frac{51}{46 y}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{35}{x y^{2}} \cdot \frac{46 y}{51}$

Step 2

Combine.

$\frac{35 (46 y)}{x y^{2} \cdot 51}$

Step 3

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

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Step 3.1

Factor $y$ out of $35 (46 y)$ .

$\frac{y (35 \cdot (46))}{x y^{2} \cdot 51}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $y$ out of $x y^{2} \cdot 51$ .

$\frac{y (35 \cdot (46))}{y (x y \cdot 51)}$

Step 3.2.2

Cancel the common factor.

$\frac{y (35 \cdot (46))}{y (x y \cdot 51)}$

Step 3.2.3

Rewrite the expression.

$\frac{35 \cdot (46)}{x y \cdot 51}$

$\frac{35 \cdot (46)}{x y \cdot 51}$

$\frac{35 \cdot (46)}{x y \cdot 51}$

Step 4

Multiply $35$ by $46$ .

$\frac{1610}{x y \cdot 51}$

Step 5

Move $51$ to the left of $x y$ .

$\frac{1610}{51 x y}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$