Question

subtract.
\\(\frac{7}{3} - \frac{5}{4b}\\)
simplify your answer as much as possible.

Explanation:

Step1: Find common denominator

The denominators are \(3\) and \(4b\), so the common denominator is \(12b\). Multiply \(\frac{7}{3}\) by \(\frac{4b}{4b}\) and \(\frac{5}{4b}\) by \(\frac{3}{3}\):
\(\frac{7}{3} \times \frac{4b}{4b} = \frac{28b}{12b}\), \(\frac{5}{4b} \times \frac{3}{3} = \frac{15}{12b}\)

Step2: Subtract the fractions

Subtract the numerators over the common denominator:
\(\frac{28b}{12b} - \frac{15}{12b} = \frac{28b - 15}{12b}\)

Answer:

\(\frac{28b - 15}{12b}\)