What is the value of the expression 1/2(m−2/3n) when m=3/2 and n=1/2 ?
Responses
5/12
5 over 12
7/12
7 over 12
11/12
11 over 12
To find the value of the expression 1/2(m-2/3n) when m=3/2 and n=1/2, follow these steps:
Step 1: Substitute the given values of m and n into the expression.
1/2(3/2 - 2/3 * 1/2)
Step 2: Simplify the expression inside the parentheses.
1/2(3/2 - 1/3)
Step 3: Find a common denominator for the fractions inside the parentheses.
1/2(9/6 - 2/6)
Step 4: Subtract the fractions inside the parentheses.
1/2(7/6)
Step 5: Multiply the result by 1/2.
7/12.
Therefore, the value of the expression 1/2(m-2/3n) when m=3/2 and n=1/2 is 7/12 or 7 over 12.
To find the value of the expression 1/2(m - 2/3n) when m = 3/2 and n = 1/2, we can substitute the given values into the expression and simplify.
First, let's substitute m = 3/2 and n = 1/2 into the expression:
1/2(3/2 - 2/3 * 1/2)
Now, let's simplify the expression step by step:
1/2(3/2 - 1/3)
To subtract fractions, we need a common denominator. The least common denominator between 2 and 3 is 6:
1/2(9/6 - 2/6)
Now, subtract the fractions:
1/2(7/6)
To divide a fraction by 2, multiply the fraction by its reciprocal:
(1 * 7)/(2 * 6)
Simplify the multiplication:
7/12
Therefore, the value of the expression 1/2(m - 2/3n) when m = 3/2 and n = 1/2 is 7/12.