60 ÷ (6 + w)
Which expression is equivalent to the expression shown above?
Responses
A (6 + w) ÷ 60(6 + w ) ÷ 60
B 60 ÷ 6 + 60 ÷ w60 ÷ 6 + 60 ÷ w
C (6 ÷ 60) + w(6 ÷ 60) + w
D 60 ÷ (w + 6)
SHOW YOUR WORK
To find the equivalent expression, let's simplify the expression given:
60 ÷ (6 + w)
The expression cannot be simplified further, so the equivalent expression is:
D) 60 ÷ (w + 6)
SHOW HOW YOU GOT IT
To find the equivalent expression, let's simplify the expression given step by step:
Step 1: Distribute the division to both terms inside the parentheses:
60 ÷ 6 + 60 ÷ w
Step 2: Simplify the divisions:
360 ÷ 6 + 60 ÷ w
Step 3: Simplify the divisions:
60 + 60 ÷ w
Now, let's compare this with the original expression:
60 + 60 ÷ w is not equivalent to 60 ÷ (6 + w)
Therefore, option B is not the correct answer.
Next, let's try option C:
(6 ÷ 60) + w(6 ÷ 60) + w
This expression is not equivalent to the original expression, so option C is not the correct answer.
Finally, let's try option D:
60 ÷ (w + 6)
This expression is equivalent to the original expression. So, the correct answer is option D.