Question

simplify the fraction completely. if the fraction does not simplify, submit the fraction in its current form.
$\frac{48x^{3}}{18x}$

Explanation:

Step1: Factorize numerator and denominator

Factorize 48 and 18. $48 = 2\times2\times2\times2\times3$, $18=2\times3\times3$. Also, use the rule of exponents $\frac{x^m}{x^n}=x^{m - n}$. So, $\frac{48x^{3}}{18x}=\frac{2\times2\times2\times2\times3\times x^{3}}{2\times3\times3\times x}$.

Step2: Cancel out common factors

Cancel out the common factor of 2 and 3 in the coefficient part, and $x$ in the variable - part. $\frac{2\times2\times2\times2\times3\times x^{3}}{2\times3\times3\times x}=\frac{2\times2\times2\times2\times x^{3 - 1}}{3}=\frac{8x^{2}}{3}$.

Answer:

$\frac{8x^{2}}{3}$