Question

Compute the product of 1/2 5/7 then use that answer to complete this comparison statement 1/2 5/7 1/2 Enter > or <for your response

Answer 1

First, let's compute the product of \( \frac{1}{2} \) and \( \frac{5}{7} \):

\[
\frac{1}{2} \times \frac{5}{7} = \frac{1 \times 5}{2 \times 7} = \frac{5}{14}
\]

Now, we compare \( \frac{5}{14} \) with \( \frac{1}{2} \).

To compare \( \frac{5}{14} \) and \( \frac{1}{2} \), we can find a common denominator or convert \( \frac{1}{2} \) to have the same denominator as \( \frac{5}{14} \).

The denominator of \( \frac{1}{2} \) is 2, and we can convert it to a denominator of 14:

\[
\frac{1}{2} = \frac{1 \times 7}{2 \times 7} = \frac{7}{14}
\]

Now we have:

- \( \frac{5}{14} \)
- \( \frac{7}{14} \)

Now we can compare:

\[
\frac{5}{14} < \frac{7}{14}
\]

Thus, the comparison statement \( \frac{5}{14} \) \( \frac{1}{2} \) can be completed as:

\[
\frac{5}{14} < \frac{1}{2}
\]

Therefore, the answer is "<".