Verify if (c²ba)/(bac) = 1/c: Fraction Simplification Challenge

Indicate whether true or false

$\frac{c^2\cdot b\cdot a}{b\cdot a\cdot c}=\frac{1}{c}$

To solve this problem, we'll focus on simplifying the fraction:

Given: $\frac{c^2 \cdot b \cdot a}{b \cdot a \cdot c}$.

Step 1: Identify and cancel common factors from the numerator and the denominator. Note that both the numerator and the denominator have $b$, $a$, and $c$ as common factors.

Step 2: Cancel $b$ and $a$ from both the numerator and the denominator to simplify:

Step 3: Simplify the remaining expression by canceling $c$ from the numerator and denominator:

The simplified expression is $c$, not $\frac{1}{c}$.

Therefore, the given statement that $\frac{c^2 \cdot b \cdot a}{b \cdot a \cdot c} = \frac{1}{c}$ is Not true.