Pre-Algebra Examples

$\frac{26}{x} \div \frac{48}{12}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{26}{x} \cdot \frac{12}{48}$

Step 2

Cancel the common factor of $2$ .

Tap for more steps...

Step 2.1

Factor $2$ out of $26$ .

$\frac{2 (13)}{x} \cdot \frac{12}{48}$

Step 2.2

Factor $2$ out of $48$ .

$\frac{2 \cdot 13}{x} \cdot \frac{12}{2 \cdot 24}$

Step 2.3

Cancel the common factor.

$\frac{2 \cdot 13}{x} \cdot \frac{12}{2 \cdot 24}$

Step 2.4

Rewrite the expression.

$\frac{13}{x} \cdot \frac{12}{24}$

Step 3

Multiply $\frac{13}{x}$ by $\frac{12}{24}$ .

$\frac{13 \cdot 12}{x \cdot 24}$

Step 4

Multiply $13$ by $12$ .

$\frac{156}{x \cdot 24}$

Step 5

Cancel the common factor of $156$ and $24$ .

Tap for more steps...

Step 5.1

Factor $12$ out of $156$ .

$\frac{12 (13)}{x \cdot 24}$

Step 5.2

Cancel the common factors.

Tap for more steps...

Step 5.2.1

Factor $12$ out of $x \cdot 24$ .

$\frac{12 (13)}{12 (x \cdot 2)}$

Step 5.2.2

Cancel the common factor.

$\frac{12 \cdot 13}{12 (x \cdot 2)}$

Step 5.2.3

Rewrite the expression.

$\frac{13}{x \cdot 2}$

Step 6

Move $2$ to the left of $x$ .

$\frac{13}{2 x}$