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Evaluate 4x3/4x5/6

$4 x \frac{3}{4} x \frac{5}{6}$

Step 1

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$4 (x \cdot x) \frac{3}{4} \cdot \frac{5}{6}$

Multiply $x$ by $x$ .

$4 x^{2} \frac{3}{4} \cdot \frac{5}{6}$

$4 x^{2} \frac{3}{4} \cdot \frac{5}{6}$

Step 2

Cancel the common factor of $2$ .

Factor $2$ out of $4 x^{2} \frac{3}{4}$ .

$2 (2 x^{2} \frac{3}{4}) \cdot \frac{5}{6}$

Factor $2$ out of $6$ .

$2 (2 x^{2} \frac{3}{4}) \cdot \frac{5}{2 (3)}$

Cancel the common factor.

$2 (2 x^{2} \frac{3}{4}) \cdot \frac{5}{2 \cdot 3}$

Rewrite the expression.

$2 x^{2} \frac{3}{4} \cdot \frac{5}{3}$

$2 x^{2} \frac{3}{4} \cdot \frac{5}{3}$

Step 3

Combine $2$ and $\frac{3}{4}$ .

$x^{2} \frac{2 \cdot 3}{4} \cdot \frac{5}{3}$

Step 4

Multiply $2$ by $3$ .

$x^{2} \frac{6}{4} \cdot \frac{5}{3}$

Step 5

Combine $x^{2}$ and $\frac{6}{4}$ .

$\frac{x^{2} \cdot 6}{4} \cdot \frac{5}{3}$

Step 6

Multiply $\frac{x^{2} \cdot 6}{4}$ by $\frac{5}{3}$ .

$\frac{x^{2} \cdot 6 \cdot 5}{4 \cdot 3}$

Step 7

Multiply.

Multiply $5$ by $6$ .

$\frac{x^{2} \cdot 30}{4 \cdot 3}$

Multiply $4$ by $3$ .

$\frac{x^{2} \cdot 30}{12}$

$\frac{x^{2} \cdot 30}{12}$

Step 8

Cancel the common factor of $30$ and $12$ .

Factor $6$ out of $x^{2} \cdot 30$ .

$\frac{6 (x^{2} \cdot 5)}{12}$

Cancel the common factors.

Factor $6$ out of $12$ .

$\frac{6 (x^{2} \cdot 5)}{6 (2)}$

Cancel the common factor.

$\frac{6 (x^{2} \cdot 5)}{6 \cdot 2}$

Rewrite the expression.

$\frac{x^{2} \cdot 5}{2}$

$\frac{x^{2} \cdot 5}{2}$

$\frac{x^{2} \cdot 5}{2}$

Step 9

Move $5$ to the left of $x^{2}$ .

$\frac{5 x^{2}}{2}$

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