Final answer:
The value of the expression 1/2 (m : 3) + n with m=12 and n=3/5 is calculated step by step, resulting in the value of 13/5 as the correct solution. The correct option is A.
Step-by-step explanation:
The student's question involves solving for the value of the given algebraic expression. The expression provided is 1/2 (m : 3) + n where m = 12 and n = 3/5.
First, replace the variables m and n with the given values.
1/2 (12 : 3) + 3/5
Divide 12 by 3 inside the parenthesis.
1/2 (4) + 3/5
Multiply 1/2 by 4.
2 + 3/5
Convert whole number 2 to a fraction with a denominator of 5 to combine with 3/5.
10/5 + 3/5
Now, add the fractions.
13/5
The correct answer is A 13/5.