Question

subtract.
\\(\frac{7}{2} - \frac{9}{5d}\\)
simplify your answer as much as possible.

Explanation:

Step1: Find a common denominator

The denominators are \(2\) and \(5d\), so the common denominator is \(10d\).
Rewrite each fraction with the common denominator:
\(\frac{7}{2}=\frac{7\times5d}{2\times5d}=\frac{35d}{10d}\)
\(\frac{9}{5d}=\frac{9\times2}{5d\times2}=\frac{18}{10d}\)

Step2: Subtract the fractions

Subtract the numerators while keeping the common denominator:
\(\frac{35d}{10d}-\frac{18}{10d}=\frac{35d - 18}{10d}\)

Answer:

\(\dfrac{35d - 18}{10d}\)