Question

Which is greater 1 5/7 or 2.5

Answer 1

To compare \( 1 \frac{5}{7} \) and \( 2.5 \), we can convert \( 1 \frac{5}{7} \) to a decimal.

1. Convert \( 1 \frac{5}{7} \) to an improper fraction:
\[
1 \frac{5}{7} = \frac{7 \times 1 + 5}{7} = \frac{7 + 5}{7} = \frac{12}{7}
\]

2. Now convert \( \frac{12}{7} \) to a decimal by dividing \( 12 \) by \( 7 \):
\[
12 \div 7 \approx 1.7142857142857
\]

So, \( 1 \frac{5}{7} \approx 1.714 \).

3. We know \( 2.5 \) is equal to \( 2.5 \).

Now we can compare:
- \( 1.714 < 2.5 \)

Thus, \( 2.5 \) is greater than \( 1 \frac{5}{7} \).