Question

Which sign makes the statement true? 7/10 1/5

Answer 1

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 \( > \).