To find the total amount of snow that fell in Newton, we need to add the two amounts of snow together: \( \frac{3}{8} \) inch in the morning and \( \frac{1}{2} \) inch in the afternoon.
First, we need to convert \( \frac{1}{2} \) inch into a fraction with a denominator of 8.
\[ \frac{1}{2} = \frac{1 \times 4}{2 \times 4} = \frac{4}{8} \]
Now, we can add \( \frac{3}{8} \) and \( \frac{4}{8} \):
\[ \frac{3}{8} + \frac{4}{8} = \frac{3 + 4}{8} = \frac{7}{8} \]
Thus, the total amount of snow that fell in Newton that day is \( \frac{7}{8} \) inches.
The answer is \( 7/8 \).