Question

((ac-a^2)/c^2)/(c-a)/c

Answer 1

$\frac{ \frac{ac- a^{2}}{ c^{2}}}{ \frac{c-a}{c} } = \frac{ac- a^{2}}{ c^{2}}:\frac{c-a}{c} = \frac{a(c- a)}{ c^{2}}*\frac{c}{c-a}= \frac{a}{c}$

Answer 2

To simplify the expression ((ac-a^2)/c^2)/(c-a)/c, let's break it down step by step:

Step 1: Simplify the numerator of the fraction ((ac-a^2)/c^2). The numerator can be factorized as follows: (ac - a^2) = a(c - a)

Step 2: Substitute the simplified numerator into the original expression: (a(c - a)/c^2)/(c - a)/c

Step 3: Invert the second fraction (c - a)/c and multiply it with the first fraction: (a(c - a)/c^2) * (c/(c - a))

Step 4: Simplify the expression by canceling out common factors: (a(c - a) * c) / (c^2 * (c - a))

Step 5: Further simplify the expression by canceling out common factors: ac(c - a) / c^2(c - a)

Step 6: Cancel out the common factor of (c - a) in the numerator and denominator: ac / c^2

Therefore, the simplified expression is ac / c^2.