Question:
For any two positive rational numbers m and n, a binary operation * is defined by \(m*n=\frac{m+n}{3}\), then \(\frac{7}{2}*\frac{5}{2}\) is equal to
For any two positive rational numbers m and n, a binary operation * is defined by \(m*n=\frac{m+n}{3}\), then \(\frac{7}{2}*\frac{5}{2}\) is equal to
Updated On: Jun 16, 2025
- 4
- 6
- 2
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- 9
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The Correct Option is C
Solution and Explanation
We are given a binary operation * defined by:
\(m * n = \frac{m + n}{3}\)
We need to find \(\frac{7}{2} * \frac{5}{2}\).
Using the definition of the binary operation, we have:
\(\frac{7}{2} * \frac{5}{2} = \frac{\frac{7}{2} + \frac{5}{2}}{3} = \frac{\frac{12}{2}}{3} = \frac{6}{3} = 2\)
The answer is 2.
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