Solve for \( n \).
\[ \frac{n}{8} = 5 \frac{1}{5} \]
A. \(\frac{13}{20}\)
B. \(1 \frac{7}{13}\)
C. \(41 \frac{3}{5}\)
D. \(208\)
Answer (3)
8 n β = 5 5 1 β 8 n β = 5 26 β 5 n = 26 β
8 5 n = 208 n = 5 208 β n = 41 5 3 β β
The answer is C.
Make the improper fraction into a fraction n/8= 26/5
Multiply by 8 to both sides to get n by itself
n= 26(8)/5
n=41 3/5
The solution to the equation 8 n β = 5 5 1 β is n = 41 5 3 β . Therefore, the correct answer is option C. This was achieved by converting the mixed number to an improper fraction, isolating n , and simplifying the expression.
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