Simplify (3x1/4)/(9x4/3)

$\frac{3 x \frac{1}{4}}{9 x \frac{4}{3}}$

Step 1

Cancel the common factor of $3$ and $9$ .

Factor $3$ out of $3 x (\frac{1}{4})$ .

$\frac{3 (x (\frac{1}{4}))}{9 x (\frac{4}{3})}$

Cancel the common factors.

Factor $3$ out of $9 x (\frac{4}{3})$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 2

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{x \frac{1}{4}}{3 x \frac{4}{3}}$

Rewrite the expression.

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

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

Step 3

Multiply the numerator by the reciprocal of the denominator.

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

Step 4

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

$\frac{1}{4} \cdot \frac{1}{\frac{3 \cdot 4}{3}}$

Step 5

Simplify the expression.

Multiply $3$ by $4$ .

$\frac{1}{4} \cdot \frac{1}{\frac{12}{3}}$

Divide $12$ by $3$ .

$\frac{1}{4} \cdot \frac{1}{4}$

$\frac{1}{4} \cdot \frac{1}{4}$

Step 6

Multiply $\frac{1}{4} \cdot \frac{1}{4}$ .

Multiply $\frac{1}{4}$ by $\frac{1}{4}$ .

$\frac{1}{4 \cdot 4}$

Multiply $4$ by $4$ .

$\frac{1}{16}$

$\frac{1}{16}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{16}$

Decimal Form:

$0.0625$

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