Question
Choose the symbol that makes the following sentence true: 22/25 __ 8/9.
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Answers
GPT-4o mini
To determine the correct symbol to make the statement \( \frac{22}{25} \, __ \, \frac{8}{9} \) true, we should compare the two fractions.
1. First, we can convert both fractions to a common denominator or compare their decimal values:
\[
\frac{22}{25} = 0.88
\]
\[
\frac{8}{9} \approx 0.8888\ldots
\]
2. Now, we compare:
\[
0.88 < 0.8888\ldots
\]
Thus, \( \frac{22}{25} < \frac{8}{9} \).
Therefore, the correct symbol is:
\[
\frac{22}{25} < \frac{8}{9}
\]
So the answer is:
<
1. First, we can convert both fractions to a common denominator or compare their decimal values:
\[
\frac{22}{25} = 0.88
\]
\[
\frac{8}{9} \approx 0.8888\ldots
\]
2. Now, we compare:
\[
0.88 < 0.8888\ldots
\]
Thus, \( \frac{22}{25} < \frac{8}{9} \).
Therefore, the correct symbol is:
\[
\frac{22}{25} < \frac{8}{9}
\]
So the answer is:
<