Question

if \\(\frac{5}{n} - \frac{3}{n} = \frac{1}{4}\\), then \\(n\\) is equal to
\\(\boldsymbol{\text{a}}\\) \\(\frac{1}{8}\\)
\\(\boldsymbol{\text{b}}\\) \\(2\\)
\\(\boldsymbol{\text{c}}\\) \\(4\\)
\\(\boldsymbol{\text{d}}\\) \\(8\\)

Explanation:

Step1: Combine like fractions

$\frac{5-3}{n} = \frac{1}{4}$
$\frac{2}{n} = \frac{1}{4}$

Step2: Cross-multiply to solve for $n$

$n \times 1 = 2 \times 4$
$n = 8$

Answer:

D. 8