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2) \\(\frac{7}{12n} \\cdot \\frac{5n}{12}\\)

Question

  1. \\(\frac{7}{12n} \cdot \frac{5n}{12}\\)

Explanation:

Step1: Multiply numerators and denominators

Multiply the numerators \(7\) and \(5n\), and the denominators \(12n\) and \(12\). So we get \(\frac{7\times5n}{12n\times12}\).

Step2: Simplify the expression

Simplify the \(n\) terms (assuming \(n
eq0\), \(n\) cancels out) and multiply the constants. \(7\times5 = 35\) and \(12\times12=144\). So the simplified form is \(\frac{35}{144}\).

Answer:

\(\frac{35}{144}\)