Pre-Algebra Examples

$\frac{x (\frac{3}{4})}{\frac{1}{6}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$x (\frac{3}{4}) \cdot 6$

Step 2

Combine $x$ and $\frac{3}{4}$ .

$\frac{x \cdot 3}{4} \cdot 6$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $4$ .

$\frac{x \cdot 3}{2 (2)} \cdot 6$

Step 3.2

Factor $2$ out of $6$ .

$\frac{x \cdot 3}{2 \cdot 2} \cdot (2 \cdot 3)$

Step 3.3

Cancel the common factor.

$\frac{x \cdot 3}{2 \cdot 2} \cdot (2 \cdot 3)$

Step 3.4

Rewrite the expression.

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

Step 4

Combine $\frac{x \cdot 3}{2}$ and $3$ .

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

Step 5

Multiply $3$ by $3$ .

$\frac{x \cdot 9}{2}$

Step 6

Move $9$ to the left of $x$ .

$\frac{9 x}{2}$