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How do you simplify #(2/b)/(4/(b-3))#?

Answer 1

Genesis Allen

#(b-3)/(2b)#

#"note that expressions of the form"#

#(a/b)/(c/d)=a/bxxd/c#

#rArr(2/b)/(4/(b-3))#

#=2/bxx(b-3)/4#

#=cancel(2)^1/b xx(b-3)/(cancel(4)^2#

#=(b-3)/(2b)#

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Answer 2

Kennedy Adams

To simplify (2/b)/(4/(b-3)), you can multiply the numerator and denominator by the reciprocal of the denominator of the second fraction. This reciprocal is (b-3)/4. Simplifying further, you get (2/b) * ((b-3)/4). By multiplying the numerators and denominators, the expression simplifies to (2(b-3))/(b*4). This can be further simplified to (2b-6)/(4b), or (b-3)/(2b).

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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.