Simplify ((12)(3/4))/((4)(1/4))

$\frac{(12) (\frac{3}{4})}{(4) (\frac{1}{4})}$

Step 1

Cancel the common factor of $12$ and $4$ .

Factor $4$ out of $(12) (\frac{3}{4})$ .

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

Cancel the common factors.

Cancel the common factor.

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

Rewrite the expression.

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

Step 2

Multiply the numerator by the reciprocal of the denominator.

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

Step 3

Multiply $3 (\frac{3}{4})$ .

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

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

Multiply $3$ by $3$ .

$\frac{9}{4} \cdot 4$

Step 4

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{9}{4} \cdot 4$

Rewrite the expression.

$9$