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How do you simplify #\frac{11d+d}{8d-3d}#?

Answer 1

Julia Adams

#12/5#

#"collect like terms on numerator and denominator"#

#rArr(12d)/(5d)#

#color(blue)"cancel out ""d on the numerator/denominator"#

#=(12cancel(d))/(5cancel(d))=12/5#

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Answer 2

Eva Adamson

To simplify ( \frac{11d + d}{8d - 3d} ), you first combine like terms in the numerator and denominator:

[ \frac{11d + d}{8d - 3d} = \frac{12d}{5d} ]

Then, you can cancel out the common factor of ( d ) from the numerator and denominator:

[ \frac{12d}{5d} = \frac{12}{5} ]

So, ( \frac{11d + d}{8d - 3d} ) simplifies to ( \frac{12}{5} ).

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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.