Simplify (22/54)/(110/(22s))

$\frac{\frac{22}{54}}{\frac{110}{22 s}}$

Step 1

Cancel the common factor of $22$ and $54$ .

Factor $2$ out of $22$ .

$\frac{\frac{2 (11)}{54}}{\frac{110}{22 s}}$

Cancel the common factors.

Factor $2$ out of $54$ .

$\frac{\frac{2 \cdot 11}{2 \cdot 27}}{\frac{110}{22 s}}$

Cancel the common factor.

$\frac{\frac{2 \cdot 11}{2 \cdot 27}}{\frac{110}{22 s}}$

Rewrite the expression.

$\frac{\frac{11}{27}}{\frac{110}{22 s}}$

Step 2

Cancel the common factor of $110$ and $22$ .

Factor $22$ out of $110$ .

$\frac{\frac{11}{27}}{\frac{22 \cdot 5}{22 s}}$

Cancel the common factors.

Factor $22$ out of $22 s$ .

$\frac{\frac{11}{27}}{\frac{22 \cdot 5}{22 (s)}}$

Cancel the common factor.

$\frac{\frac{11}{27}}{\frac{22 \cdot 5}{22 s}}$

Rewrite the expression.

$\frac{\frac{11}{27}}{\frac{5}{s}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{11}{27} \cdot \frac{s}{5}$

Step 4

Multiply $\frac{11}{27} \cdot \frac{s}{5}$ .

Multiply $\frac{11}{27}$ by $\frac{s}{5}$ .

$\frac{11 s}{27 \cdot 5}$

Multiply $27$ by $5$ .

$\frac{11 s}{135}$