Question

1. \\(\frac{56v - 72}{32v}\\)

Explanation:

Step1: Factor numerator and denominator

First, find the greatest common factor (GCF) of the numerator \(56v - 72\) and the denominator \(32v\). The GCF of 56, 72, and 32 is 8.
Factor out 8 from the numerator: \(56v - 72 = 8(7v - 9)\)
Factor out 8 from the denominator: \(32v = 8(4v)\)

Step2: Simplify the fraction

Now, we have the fraction \(\frac{8(7v - 9)}{8(4v)}\). We can cancel out the common factor of 8 in the numerator and the denominator (assuming \(v
eq0\) to avoid division by zero).
After canceling 8, we get \(\frac{7v - 9}{4v}\)

Answer:

\(\frac{7v - 9}{4v}\) (where \(v
eq0\))