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what is a/b equal to..

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RASTA

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20:27 Uhr, 23.11.2022

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Tag,
need help with this

I started with the original equation and took the reciprocal of both sides to solve for b.

ab=35

ba=53

b=5a3

now I have the value of b, what can I do now,

Vielen Dank!

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pivot

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21:00 Uhr, 23.11.2022

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Hello,

now you can insert 5a3 into bc=79:

5a3c=79

5a3c=79

...

Solve the equation for ac

Alternatively you can calculate abbc, with the given values.

greetings,
pivot




RASTA

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21:29 Uhr, 23.11.2022

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okay, let me try that, thanks.
5a3c=79

now i will multiply both sides by 3c to clear the a variable on the left side.

3c(5a3c)=3c(79)

5a=7c3

now i will divide both sides by 5 to clear variable a,

5a5=7c35

a=7c315

a=7c15


now that I have the value of a and b, what can I do to find the equivalent fraction to a over b
this is where I am really lost.

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pivot

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21:33 Uhr, 23.11.2022

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Your transformation is right, but you have gone a little bit too far. Remember that is aksed for the value of ac

Dividing your result by c you get ac=715
RASTA

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21:41 Uhr, 23.11.2022

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Don't understand well,
do you mean this is the operation that i need to do ?.
abbc

35=7c15c

RASTA

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21:44 Uhr, 23.11.2022

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or this one?

3579=2145
RASTA

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21:46 Uhr, 23.11.2022

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but they are asking what the value of ac is.
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pivot

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22:01 Uhr, 23.11.2022

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>>Don't understand well, do you mean this is the operation that i need to do ? ...<<

This is one (second) approach. It is a little bit easier than your approach.
Have you notice that b is cancelling out?

>>or this one?<<

That is right. Finally you can cancel the fraction by 3.

>>but they are asking what the value of a/c is<<
I know.
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RASTA

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22:03 Uhr, 23.11.2022

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Ohh, i see it now,
you mean having the value of a then i can substitute aac
and just simplifiy it to get 715

ac=7c15/c=715

so ac=715

is it correct?

thanks

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pivot

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22:38 Uhr, 23.11.2022

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That's right.
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RASTA

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22:46 Uhr, 23.11.2022

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Thanks.
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walbus

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05:16 Uhr, 24.11.2022

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my approach:

ab=35
a=35b

bc=79
c=97b
35b79b=3597=2735


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Roman-22

Roman-22

05:36 Uhr, 24.11.2022

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There are so many ways to skin a cat and as we seem to start to collect different ways, here are my two cents:

1)
a:b  =3:5=21:35
  b:c=  7:9= 35:45
(the point is to generate the same number at "equal" positions least common multiple)
So we see a:b:c=21:35:45 and therefore a:c=21:45=7:15


2)
ac=abbc=3579=1573=715