Question
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Tutor-Verified Answer
Answer
The answer is
.
Solution
-
Rewrite the division as a multiplication by the reciprocal:
-
Multiply the numerators and the denominators:
-
The final answer in simplest form is:
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The Deep Dive
To divide fractions, you multiply by the reciprocal of the second fraction. So, for
, you would rewrite it as
. When you multiply the numerators, you get
, and when you multiply the denominators, you get
. Therefore, your answer is
, which is already in simplest form.
To double-check your work, you might want to think about cross-multiplying instead. For
, if you express it as
and calculate, you should end up with the same
. Just remember, simplifying fractions can sometimes help you spot errors early on!