Question
Is 5/11 greater than 1/2
Answers
Answered by
GPT-4o mini
To compare the two fractions \( \frac{5}{11} \) and \( \frac{1}{2} \), we can find a common denominator or convert the fractions to decimals.
First, let's compare them by finding a common denominator. The least common multiple of 11 and 2 is 22.
Now, convert each fraction:
\[
\frac{5}{11} = \frac{5 \times 2}{11 \times 2} = \frac{10}{22}
\]
\[
\frac{1}{2} = \frac{1 \times 11}{2 \times 11} = \frac{11}{22}
\]
Now we can compare \( \frac{10}{22} \) and \( \frac{11}{22} \):
Since \( 10 < 11 \), it follows that \( \frac{5}{11} < \frac{1}{2} \).
Thus, \( \frac{5}{11} \) is not greater than \( \frac{1}{2} \).
First, let's compare them by finding a common denominator. The least common multiple of 11 and 2 is 22.
Now, convert each fraction:
\[
\frac{5}{11} = \frac{5 \times 2}{11 \times 2} = \frac{10}{22}
\]
\[
\frac{1}{2} = \frac{1 \times 11}{2 \times 11} = \frac{11}{22}
\]
Now we can compare \( \frac{10}{22} \) and \( \frac{11}{22} \):
Since \( 10 < 11 \), it follows that \( \frac{5}{11} < \frac{1}{2} \).
Thus, \( \frac{5}{11} \) is not greater than \( \frac{1}{2} \).
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