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

• A. 4
• B. 6
• C. 2
• D. 8
• E. 9

Answer 1

The Correct Option is C

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.