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How do you simplify #(6x-3)/5 div (4x-8)/25#?

Answer 1

Savannah Anderson

#(15(2x-1))/(4(x-2))#

#(6x-3)/5 div (4x-8)/25#

#color(white)("XXXX")##= (6x-3)/5 xx 25/(4x-8)#

#color(white)("XXXX")##= (6x-3)/cancel(5) xx cancel(25)^5/(4x-8)#

#color(white)("XXXX")##=(15(2x-1))/(4(x-2))#

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Answer 2

Savannah Anderson

To simplify (6x-3)/5 divided by (4x-8)/25, you can multiply the first fraction by the reciprocal of the second fraction. The reciprocal of (4x-8)/25 is 25/(4x-8). Therefore, the simplified expression is (6x-3)/5 multiplied by 25/(4x-8).

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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.