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Answer
The expression simplifies to
or approximately 0.204082.
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The Deep Dive
Let’s simplify the expression step by step.
First, we can factor out common terms in each fraction:
-
In the first fraction,
, we can factor out a 5 from the numerator and a 7 from the denominator: -
In the second fraction,
, we can factor out a 4 from the numerator and a 14 from the denominator:
Now our expression looks like:
Next, we can multiply the numerators together and the denominators together:
From here, we can cancel out the common terms
and
:
Calculating the constants gives:
Finally, we simplify
by finding the greatest common divisor (GCD), which is 2:
Thus, the simplified result of the expression
is: