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Which expression is equivalent to 1/8x- 1/2?

A. 1/8(x-1/2)
B.1/8(x-1/4)
C.-1/8(x-4)
D. 1/8(x-4)

User SebMa
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Answer:

This is done by factoring. 1/8 is smaller than 1/2, so we can factor a 1/8 out of 1/2. This is what that looks like: , because factoring after all is a form of division. When we divide a fraction by a fraction, we bring the lower fraction up and flip it to multiply, giving us this: . This of course reduces to 4. So when we factor out 1/8, what we will have then is , choice D from above.Explanation:

User Moohkooh
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5 votes
This is done by factoring. 1/8 is smaller than 1/2, so we can factor a 1/8 out of 1/2. This is what that looks like:
( (1)/(2) )/( (1)/(8) ), because factoring after all is a form of division. When we divide a fraction by a fraction, we bring the lower fraction up and flip it to multiply, giving us this:
(1)/(2) * (8)/(1). This of course reduces to 4. So when we factor out 1/8, what we will have then is
(1)/(8) (x-4), choice D from above.
User Paul Johnston
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