simplify: 6-y/6/1/6-1/y
6-y/6*6y/y-6= 6y/6=y
Is this correct help i need help!!
answers: A. -y
B. y
C. -6/y
D. -1/y
which one?
To simplify the given expression, we follow the order of operations (PEMDAS/BODMAS).
Given: (6 - y) / (6 / 1) / (6 - 1 / y)
Let's simplify step by step:
Step 1: Simplify the expression inside the parentheses.
= (6 - y) / (6 / 1) / (6 - 1 / y)
Step 2: Perform the division within the parentheses: (6/1) = 6
= (6 - y) / 6 / (6 - 1 / y)
Step 3: Simplify further by dividing both the numerator and the denominator by 6.
= (6 - y) / (6 / 6) / (6 - 1 / y)
= (6 - y) / 1 / (6 - 1 / y)
= (6 - y) / (6 - 1 / y)
Now, since we have simplified the expression as far as possible, we need to choose the correct answer from the options provided.
Looking at the options:
A. -y
B. y
C. -6/y
D. -1/y
Comparing the simplified expression (6 - y) / (6 - 1 / y) with the answer choices, we can see that the simplified expression matches option B, which is "y".
Therefore, the correct answer is B. y.