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evaluate \\(\frac{1}{3}m - 1 - \frac{1}{2}n\\) when \\(m = 21\\) and \\…

Question

evaluate \\(\frac{1}{3}m - 1 - \frac{1}{2}n\\) when \\(m = 21\\) and \\(n = 12\\).

Explanation:

Step1: Substitute m and n values

Substitute \( m = 21 \) and \( n = 12 \) into the expression \(\frac{1}{3}m - 1 - \frac{1}{2}n\).
We get \(\frac{1}{3} \times 21 - 1 - \frac{1}{2} \times 12\).

Step2: Calculate each term

First term: \(\frac{1}{3} \times 21 = 7\)
Second term: \(-1\) (remains as is)
Third term: \(\frac{1}{2} \times 12 = 6\), so the third term is \(-6\)

Step3: Combine the terms

Now combine the results: \(7 - 1 - 6\)
First, \(7 - 1 = 6\), then \(6 - 6 = 0\)

Answer:

\(0\)