Question

Which sign makes the statement true? 1/5 5/16

Answer 1

It seems like you're trying to compare the two fractions \( \frac{1}{5} \) and \( \frac{5}{16} \) to determine which is greater or if they are equal.

To compare the two fractions, you can convert them to a common denominator or convert them to decimal form.

1. **Finding a common denominator**:
- The least common multiple of 5 and 16 is 80.
- Convert \( \frac{1}{5} \) to have a denominator of 80:
\[
\frac{1}{5} = \frac{1 \times 16}{5 \times 16} = \frac{16}{80}
\]
- Convert \( \frac{5}{16} \) to have a denominator of 80:
\[
\frac{5}{16} = \frac{5 \times 5}{16 \times 5} = \frac{25}{80}
\]

Now we can compare \( \frac{16}{80} \) and \( \frac{25}{80} \). Since 16 is less than 25, we have:
\[
\frac{1}{5} < \frac{5}{16}
\]

2. **Converting to decimal**:
- \( \frac{1}{5} = 0.2 \)
- \( \frac{5}{16} \approx 0.3125 \)

Again, it is clear that \( 0.2 < 0.3125 \).

Thus, the correct statement is:
\[
\frac{1}{5} < \frac{5}{16}
\]