Question

rational expressions
adding rational expressions with denominators ax and bxc: basic
subtract.
\\(\frac{7}{4c} - \frac{5}{6c}\\)
simplify your answer as much as possible.

Explanation:

Step1: Find the common denominator

The denominators are \(4c\) and \(6c\). The least common multiple of 4 and 6 is 12, so the common denominator is \(12c\).
Rewrite the fractions: \(\frac{7}{4c}=\frac{7\times3}{4c\times3}=\frac{21}{12c}\), \(\frac{5}{6c}=\frac{5\times2}{6c\times2}=\frac{10}{12c}\)

Step2: Subtract the numerators

Subtract the two fractions: \(\frac{21}{12c}-\frac{10}{12c}=\frac{21 - 10}{12c}\)

Step3: Simplify the numerator

Calculate \(21-10 = 11\), so the result is \(\frac{11}{12c}\)

Answer:

\(\frac{11}{12c}\)