Question

2/3 < > = 2/4
choose the correct one is it <, >, or =

Answer 1

To compare the fractions \( \frac{2}{3} \) and \( \frac{2}{4} \):

1. Convert \( \frac{2}{4} \) to a simpler form:
\( \frac{2}{4} = \frac{1}{2} \).

2. Now we have to compare \( \frac{2}{3} \) and \( \frac{1}{2} \).

3. To do this, we can find a common denominator. The least common denominator for 3 and 2 is 6.

- Convert \( \frac{2}{3} \) to have a denominator of 6:
\[
\frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6}
\]

- Convert \( \frac{1}{2} \) to have a denominator of 6:
\[
\frac{1}{2} = \frac{1 \times 3}{2 \times 3} = \frac{3}{6}
\]

4. Now compare \( \frac{4}{6} \) and \( \frac{3}{6} \):
\[
\frac{4}{6} > \frac{3}{6}
\]

Thus, \( \frac{2}{3} > \frac{2}{4} \).

The correct symbol to use is \( > \).