Evaluate the expression when a=6, b=2, c=-5, and d=-2 (Simplify your answer. Type an integer or a fraction.)
a-b/c-d =_____ when a=6, b=2, c=-5, and d=-2
a - b / c - d = 6 - 2 / (-5) - (-2)
= 6 - 2 / -5 + 2
= 4 / -3
= -4/3
To evaluate the expression, substitute the given values of a, b, c, and d into the equation:
a - b/c - d = 6 - 2/(-5) - (-2)
Now simplify the expression following the order of operations (PEMDAS):
a - b/c - d = 6 - 2/(-5) + 2
First, perform the division: (-2)/(-5) = 2/5
Then substitute the value into the equation:
a - b/c - d = 6 - (2/5) + 2
Now, find a common denominator for the addition:
a - b/c - d = 6 - (2/5) + (2 × 5/5)
Simplify the expression:
a - b/c - d = 6 - (2/5) + 10/5
Combine the numerators while keeping the same denominator:
a - b/c - d = (6 - 2 + 10)/5
Perform the addition:
a - b/c - d = 14/5
Therefore, the value of the expression when a = 6, b = 2, c = -5, and d = -2 is 14/5.