5:5/8

To simplify the expression \(5:5/8\), we can interpret it as a division problem. The expression \(5:5/8\) can be rewritten as: \[ 5 \div \left(\frac{5}{8}\right) \] Dividing by a fraction is equivalent to multiplying by its reciprocal. Therefore, we can write: \[ 5 \div \left(\frac{5}{8}\right) = 5 \times \left(\frac{8}{5}\right) \] Now, multiplying: \[ 5 \times \left(\frac{8}{5}\right) = \frac{5 \times 8}{5} = 8 \] So, the value of \(5:5/8\) simplifies to \(8\).