Question

Which sign makes the statement true? 9 3/10 9 2/5

Answer 1

To determine which sign makes the statement true between \(9 \frac{3}{10}\) and \(9 \frac{2}{5}\), we first need to convert both mixed numbers into improper fractions or decimal form for easier comparison.

1. **Convert \(9 \frac{3}{10}\) to decimal:**
\[
9 \frac{3}{10} = 9 + 0.3 = 9.3
\]

2. **Convert \(9 \frac{2}{5}\) to decimal:**
\[
9 \frac{2}{5} = 9 + 0.4 = 9.4
\]

Now we can compare the two decimal values:

- \(9.3\) (for \(9 \frac{3}{10}\))
- \(9.4\) (for \(9 \frac{2}{5}\))

This means:

\[
9 \frac{3}{10} < 9 \frac{2}{5}
\]

So the correct sign is:
\[
9 \frac{3}{10} < 9 \frac{2}{5}
\]

Thus, the statement is true with the less-than sign (\(<\)).