lexiamee
how to simplify proportions and ratios
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KonradZuse
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example?????
lexiamee
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well 25 to 15 would that be 5 to 3
KonradZuse
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yes correct.
lexiamee
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thanks... what about 7 over 14x
KonradZuse
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\[\frac{7}{14x}\]
lexiamee
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yes
KonradZuse
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just think about normally trying to break down fractions.
KonradZuse
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7/14 = ?
KonradZuse
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We can also plug in for x.
lexiamee
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2
KonradZuse
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\[\frac{7}{14 * 2}\]
KonradZuse
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7/14 isn't 2.
lexiamee
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1/2
KonradZuse
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yes, correct. Now what is \[\frac{7}{14 * 2}\]
lexiamee
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4
lexiamee
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noooo hold on 1/4
KonradZuse
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then solve \[\frac{1}{2 * 2}\]
lexiamee
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so 1/4
KonradZuse
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just remember if it's a bigger # on the bottom, then the bigger number stays.
KonradZuse
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there.
KonradZuse
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also remembe you can plug in any number to solve. As we see by plugging in 2 we get the same answer both ways.
KonradZuse
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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.
lexiamee
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how would I solve 4xy over 0.25x
KonradZuse
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are you making this one up?
KonradZuse
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or is it a legit Q?
lexiamee
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no it is one of my questions for work.
KonradZuse
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I guess we woudl just cancel out.
KonradZuse
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\[\frac{4xy}{0.25x}\]
\[\frac{4y}{0.25}\]
KonradZuse
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always important to see what is in both denom and numerator.
Cancelling is HUGE later on in math.
KonradZuse
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now how many times does 0.25 go into 4?
lexiamee
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idk
KonradZuse
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....... count it out. what's .25 x 2?
lexiamee
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.25*2= .50
KonradZuse
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yup, nowhow much is 4?
KonradZuse
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0.25 x # = 4????
KonradZuse
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or now that you know 0.5 you could do 0.5 x # = 4? then double it.
lexiamee
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im lost sorry
KonradZuse
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okay.... 0.25 x 2 = 0.50
0.25 x # = 4????
(0.25 x 2 = 0.50) x # = 4??
KonradZuse
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how many times does 0.25 go into 4....
lexiamee
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nevermind thank you
KonradZuse
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:) so our final answer is???