Emma incorrectly expressed the sum as a fraction without properly adding the numbers first. To correct her work, we first need to identify the correct numbers to sum. Assuming the numbers she was supposed to add were \(4/10\) and \(4/10\), the correct sum would be:
\[ \frac{4}{10} + \frac{4}{10} = \frac{8}{10} = \frac{4}{5} \]
Expressing this as a decimal gives \(0.8\) or \(80/100\), not \(8/100\).