Question

simplify. express you
\\(\frac{7w}{4} - \frac{5}{6wx^5}\\)

Explanation:

Step1: Find the common denominator

The denominators are \(4\) and \(6wx^{5}\). The least common multiple of \(4 = 2^2\) and \(6 = 2\times3\) is \(12\), so the common denominator is \(12wx^{5}\).

Step2: Rewrite each fraction with the common denominator

For \(\frac{7w}{4}\), multiply numerator and denominator by \(3wx^{5}\): \(\frac{7w\times3wx^{5}}{4\times3wx^{5}}=\frac{21w^{2}x^{5}}{12wx^{5}}\)
For \(\frac{5}{6wx^{5}}\), multiply numerator and denominator by \(2\): \(\frac{5\times2}{6wx^{5}\times2}=\frac{10}{12wx^{5}}\)

Step3: Subtract the fractions

\(\frac{21w^{2}x^{5}}{12wx^{5}}-\frac{10}{12wx^{5}}=\frac{21w^{2}x^{5}-10}{12wx^{5}}\)

Answer:

\(\frac{21w^{2}x^{5}-10}{12wx^{5}}\)