To determine which sign makes the statement true, we need to compare the fractions \( \frac{7}{10} \) and \( \frac{1}{5} \).
First, let's convert \( \frac{1}{5} \) to have a common denominator with \( \frac{7}{10} \):
The denominator of \( \frac{1}{5} \) can be converted to 10 by multiplying both the numerator and denominator by 2:
\[ \frac{1}{5} = \frac{1 \times 2}{5 \times 2} = \frac{2}{10} \]
Now we can compare the two fractions:
- \( \frac{7}{10} \)
- \( \frac{2}{10} \)
Now we see that:
\[ \frac{7}{10} > \frac{2}{10} \]
This means we can write the statement as:
\[ \frac{7}{10} > \frac{1}{5} \]
Thus, the correct sign that makes the statement true is \( > \).