Question

simplify.
\\(\dfrac{\dfrac{2}{7w} - 5}{\dfrac{2}{7w} - 3}\\)

Explanation:

Step1: Multiply numerator and denominator by \(7w\) to eliminate fractions.

\[
\frac{\frac{2}{7w}-5}{\frac{2}{7w}-3} \times \frac{7w}{7w} = \frac{2 - 35w}{2 - 21w}
\]

Step2: Check if the numerator and denominator can be factored (they can't here), so the simplified form is \(\frac{2 - 35w}{2 - 21w}\) or we can factor out a negative sign from numerator and denominator (optional, but to make it neater):

\[
\frac{-(35w - 2)}{-(21w - 2)}=\frac{35w - 2}{21w - 2}
\]

Answer:

\(\frac{35w - 2}{21w - 2}\) (or \(\frac{2 - 35w}{2 - 21w}\))