Final answer:
To evaluate (7)/(10)-w when w=-(1)/(2), substitute the value of w into the expression and simplify to obtain the result.
Step-by-step explanation:
To evaluate (7)/(10)-w when w=-(1)/(2), we substitute the value of w into the expression:
Substituting w = -(1)/(2), we get:
(7)/(10) - (-(1)/(2))
Now, we simplify the expression:
(7)/(10) - (-(1)/(2)) = (7)/(10) + (1)/(2)
We need a common denominator to add these fractions. The common denominator is 10. So, we rewrite (1)/(2) as (5)/(10) to get:
(7)/(10) + (5)/(10) = (7 + 5)/(10) = (12)/(10)
Since the numerator is greater than the denominator, we have an improper fraction. To convert it to a mixed number, we divide the numerator by the denominator:
12 divided by 10 is 1 with a remainder of 2. So, the mixed number is 1 2/10.
Learn more about Evaluating Expressions