Pre-Algebra Examples

$\frac{3}{10} \cdot \frac{2 x}{7 y} \cdot \frac{11 y}{2}$

Step 1

Cancel the common factor of $2$ .

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Step 1.1

Factor $2$ out of $10$ .

$\frac{3}{2 (5)} \cdot \frac{2 x}{7 y} \cdot \frac{11 y}{2}$

Step 1.2

Factor $2$ out of $2 x$ .

$\frac{3}{2 (5)} \cdot \frac{2 (x)}{7 y} \cdot \frac{11 y}{2}$

Step 1.3

Cancel the common factor.

$\frac{3}{2 \cdot 5} \cdot \frac{2 x}{7 y} \cdot \frac{11 y}{2}$

Step 1.4

Rewrite the expression.

$\frac{3}{5} \cdot \frac{x}{7 y} \cdot \frac{11 y}{2}$

Step 2

Multiply $\frac{3}{5}$ by $\frac{x}{7 y}$ .

$\frac{3 x}{5 (7 y)} \cdot \frac{11 y}{2}$

Step 3

Multiply $7$ by $5$ .

$\frac{3 x}{35 y} \cdot \frac{11 y}{2}$

Step 4

Cancel the common factor of $y$ .

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Step 4.1

Factor $y$ out of $35 y$ .

$\frac{3 x}{y \cdot 35} \cdot \frac{11 y}{2}$

Step 4.2

Factor $y$ out of $11 y$ .

$\frac{3 x}{y \cdot 35} \cdot \frac{y \cdot 11}{2}$

Step 4.3

Cancel the common factor.

$\frac{3 x}{y \cdot 35} \cdot \frac{y \cdot 11}{2}$

Step 4.4

Rewrite the expression.

$\frac{3 x}{35} \cdot \frac{11}{2}$

Step 5

Multiply $\frac{3 x}{35}$ by $\frac{11}{2}$ .

$\frac{3 x \cdot 11}{35 \cdot 2}$

Step 6

Multiply.

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Step 6.1

Multiply $11$ by $3$ .

$\frac{33 x}{35 \cdot 2}$

Step 6.2

Multiply $35$ by $2$ .

$\frac{33 x}{70}$