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I don't know how to solve this at all, i just need some help on how to figure it out. Thanks!

I don't know how to solve this at all, i just need some help on how to figure it out-example-1

2 Answers

4 votes

The answer is :
\boxed {(3)/(z-3)}

Remember that dividing fractions is the same as multiplying the 1st fraction by the reciprocal of the other.


\mathsf {(1)/(z) / (z-3)/(3z)}


\mathsf {(1)/(z) * (3z)/(z - 3)}


\mathsf {(3)/(z-3)}

User Justin Pearce
by
7.5k points
0 votes

Answer:


\sf \frac{3}{{z-3} }

Step-by-step explanation:


\Longrightarrow \sf (1)/(z) / (z-3)/(3z)

apply the theorem when
(a)/(b) / (c)/(d) then
(a)/(b) * (d)/(c)


\Longrightarrow \sf (1)/(z) * (3z)/(z-3)

Join the fractions


\Longrightarrow \sf \frac{3z}{z({z-3)} }

Cancel out common factor z


\Longrightarrow \sf \frac{3}{{z-3} }

User CoredusK
by
8.7k points

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