Question
Select all expressions that have the same value as
Ask by Ford Craig. in the United States
Nov 19,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
Solution
To determine which expressions have the same value as
, we first convert
into an improper fraction.
- Convert
:
Now we can evaluate each expression:
-
Expression 1:
- Value:
(same as calculated)
- Value:
-
Expression 2:
- Value:
(same)
- Value:
-
Expression 3:
- Value:
-
Expression 4:
- Value:
-
Expression 5:
- Value:
(not the same)
- Value:
-
Expression 6:
- Value:
Now we summarize the results:
-
-
-
(not the same) -
-
(not the same) -
The expressions that have the same value as
are:
Thus, the final answer is:
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Extra Insights
To find which expressions are equivalent to
, we’ll first convert
into an improper fraction:
-
can be rewritten as:
Now we can analyze the expressions:
-
: This matches what we found; it is equivalent to . -
: This simplifies to: So, this does not match. -
: This matches our conversion: Therefore, it matches. -
: From our previous calculation with , we see this result here, which does not match. -
: This simplifies to: So, it matches.
Thus, the expressions that have the same value as
are:
So the final matching expressions are: