How do you simplify #8/(3c)--5/(6d)#?

Answer 1

#(16d+5c)/(6cd)#

Firstly, the two minus signs in the middle 'cancel out' to act as a plus sign. So the expression becomes #8/(3c) + 5/(6d)#.
Then we can find a common denominator by find the LCM (lowest common multiple) of #3c# and #6d#, which happens to be #6cd#
Then we can add to get #(8xx2d)/(3cxx2d)+(5xxc)/(6d xx c)#
= #(16d)/(6cd)+(5c)/(6cd)=(16d+5c)/(6cd)#
So the answer is #(16d+5c)/(6cd)#
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Answer 2

To simplify the expression 8/(3c) - 5/(6d), we need to find a common denominator for the fractions. The least common multiple (LCM) of 3c and 6d is 6cd.

Multiplying the first fraction by 2d/d and the second fraction by 1c/c, we get:

(8 * 2d) / (3c * 2d) - (5 * 1c) / (6d * 1c)

Simplifying further:

(16d) / (6cd) - (5c) / (6cd)

Combining the fractions:

(16d - 5c) / (6cd)

Therefore, the simplified expression is (16d - 5c) / (6cd).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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