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

1 answer

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 \( > \).