Problem

ATIVIDADES
62. Calcule o valor da expressão
\[
\frac{3^{-1}+5^{-1}}{2^{-1}}
\]

Answer

Expert–verified
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Answer

\(\boxed{\frac{16}{15}}\)

Steps

Step 1 :First, we need to simplify the expression by evaluating the exponents: \(3^{-1} = \frac{1}{3}\), \(5^{-1} = \frac{1}{5}\), and \(2^{-1} = \frac{1}{2}\)

Step 2 :Next, we perform the addition operation in the numerator: \(\frac{1}{3} + \frac{1}{5} = \frac{5 + 3}{15} = \frac{8}{15}\)

Step 3 :Finally, we perform the division operation: \(\frac{\frac{8}{15}}{\frac{1}{2}} = \frac{8}{15} \times \frac{2}{1} = \frac{16}{15}\)

Step 4 :\(\boxed{\frac{16}{15}}\)

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