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Mathematics 8 Online
OpenStudy (anonymous):

how to simplify proportions and ratios

OpenStudy (konradzuse):

example?????

OpenStudy (anonymous):

well 25 to 15 would that be 5 to 3

OpenStudy (konradzuse):

yes correct.

OpenStudy (anonymous):

thanks... what about 7 over 14x

OpenStudy (konradzuse):

\[\frac{7}{14x}\]

OpenStudy (anonymous):

yes

OpenStudy (konradzuse):

just think about normally trying to break down fractions.

OpenStudy (konradzuse):

7/14 = ?

OpenStudy (konradzuse):

We can also plug in for x.

OpenStudy (anonymous):

2

OpenStudy (konradzuse):

\[\frac{7}{14 * 2}\]

OpenStudy (konradzuse):

7/14 isn't 2.

OpenStudy (anonymous):

1/2

OpenStudy (konradzuse):

yes, correct. Now what is \[\frac{7}{14 * 2}\]

OpenStudy (anonymous):

4

OpenStudy (anonymous):

noooo hold on 1/4

OpenStudy (konradzuse):

then solve \[\frac{1}{2 * 2}\]

OpenStudy (anonymous):

so 1/4

OpenStudy (konradzuse):

just remember if it's a bigger # on the bottom, then the bigger number stays.

OpenStudy (konradzuse):

there.

OpenStudy (konradzuse):

also remembe you can plug in any number to solve. As we see by plugging in 2 we get the same answer both ways.

OpenStudy (konradzuse):

remember also that simplifying techniques are the same all over, just need to know the situations. Ratios, as above can be tricky if you dont' think about it.

OpenStudy (anonymous):

how would I solve 4xy over 0.25x

OpenStudy (konradzuse):

are you making this one up?

OpenStudy (konradzuse):

or is it a legit Q?

OpenStudy (anonymous):

no it is one of my questions for work.

OpenStudy (konradzuse):

I guess we woudl just cancel out.

OpenStudy (konradzuse):

\[\frac{4xy}{0.25x}\] \[\frac{4y}{0.25}\]

OpenStudy (konradzuse):

always important to see what is in both denom and numerator. Cancelling is HUGE later on in math.

OpenStudy (konradzuse):

now how many times does 0.25 go into 4?

OpenStudy (anonymous):

idk

OpenStudy (konradzuse):

....... count it out. what's .25 x 2?

OpenStudy (anonymous):

.25*2= .50

OpenStudy (konradzuse):

yup, nowhow much is 4?

OpenStudy (konradzuse):

0.25 x # = 4????

OpenStudy (konradzuse):

or now that you know 0.5 you could do 0.5 x # = 4? then double it.

OpenStudy (anonymous):

im lost sorry

OpenStudy (konradzuse):

okay.... 0.25 x 2 = 0.50 0.25 x # = 4???? (0.25 x 2 = 0.50) x # = 4??

OpenStudy (konradzuse):

how many times does 0.25 go into 4....

OpenStudy (anonymous):

nevermind thank you

OpenStudy (konradzuse):

:) so our final answer is???

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