Simplify ((9x^3)/5)÷((3x^3)/8)

$\frac{9 x^{3}}{5} \div \frac{3 x^{3}}{8}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{9 x^{3}}{5} \cdot \frac{8}{3 x^{3}}$

Step 2

Combine.

$\frac{9 x^{3} \cdot 8}{5 (3 x^{3})}$

Step 3

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

Factor $3$ out of $9 x^{3} \cdot 8$ .

$\frac{3 (3 x^{3} \cdot 8)}{5 (3 x^{3})}$

Cancel the common factors.

Factor $3$ out of $5 (3 x^{3})$ .

$\frac{3 (3 x^{3} \cdot 8)}{3 (5 (x^{3}))}$

Cancel the common factor.

$\frac{3 (3 x^{3} \cdot 8)}{3 (5 (x^{3}))}$

Rewrite the expression.

$\frac{3 x^{3} \cdot 8}{5 (x^{3})}$

$\frac{3 x^{3} \cdot 8}{5 (x^{3})}$

$\frac{3 x^{3} \cdot 8}{5 (x^{3})}$

Step 4

Cancel the common factor of $x^{3}$ .

Cancel the common factor.

$\frac{3 x^{3} \cdot 8}{5 x^{3}}$

Rewrite the expression.

$\frac{3 \cdot 8}{5}$

$\frac{3 \cdot 8}{5}$

Step 5

Multiply $3$ by $8$ .

$\frac{24}{5}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{24}{5}$

Decimal Form:

$4.8$

Mixed Number Form:

$4 \frac{4}{5}$

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