Solve for N
N=16
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\left(\frac{5}{8}-\frac{2}{8}\right)N=6
Least common multiple of 8 and 4 is 8. Convert \frac{5}{8} and \frac{1}{4} to fractions with denominator 8.
\frac{5-2}{8}N=6
Since \frac{5}{8} and \frac{2}{8} have the same denominator, subtract them by subtracting their numerators.
\frac{3}{8}N=6
Subtract 2 from 5 to get 3.
N=6\times \frac{8}{3}
Multiply both sides by \frac{8}{3}, the reciprocal of \frac{3}{8}.
N=\frac{6\times 8}{3}
Express 6\times \frac{8}{3} as a single fraction.
N=\frac{48}{3}
Multiply 6 and 8 to get 48.
N=16
Divide 48 by 3 to get 16.
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