Question

PLEASE HELP, MARKING BRAINLIEST!!!! If 30/t = 18/r, then t/r =

Answer 1

Answer:

5/3

Step-by-step explanation:

30/t = 18/r

Multiplying by r both sides,

30*r /t = 18

Dividing by 30 both sides,

r/t = 18/30 = 3/5

So, t/r = 5/3

Answer 2

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Answer:

  t/r = 5/3

Step-by-step explanation:

Every proportion can be written 4 ways. I like to think of them as "upside down and sideways." They are ...

  $\dfrac{30}{t}=\dfrac{18}{r}\qquad\dfrac{t}{30}=\dfrac{r}{18}\\\\\dfrac{30}{18}=\dfrac{t}{r}\qquad\dfrac{18}{30}=\dfrac{r}{t}$

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Knowing this, you can simply rewrite your proportion as ...

  t/r = 30/18

  t/r = 5/3

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More formally, you could multiply both sides by t/18:

  (30/t)(t/18) = (18/r)(t/18)

  30/18 = t/r . . . . as above

Reducing the fraction gives ...

  t/r = 5/3

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Additional comments

The usually-recommended procedure for solving something like this is to "cross-multiply" as a first step. That will give ...

  30r = 18t

Of course, that is equivalent to multiplying both sides by rt, the product of the denominators.

From here, to get t/r, you need to divide both sides by 18r.

  (30r)/(18r) = (18t)/(18r)

  30/18 = t/r

The combination of the two steps, multiply by rt, divide by 18r, is equivalent to multiplying by (rt)/(18r) = t/18, as we did above. That is, you can save some work by doing both steps at once--or by simply rewriting the proportion.