anonymous
  • anonymous
(Will give medal to the person who helps) Find the ratio of x to y. ~ x/5 = 2/3 = 5/y ~ 1.) 2/3 2.) 4/9 3.) 1
Mathematics
jamiebookeater
  • jamiebookeater
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mathstudent55
  • mathstudent55
Use x/5 = 2/3 to solve for x. It's a proportion, so cross multiply.
anonymous
  • anonymous
Alright I tried it , but I came out with decimal. Is that ok or ?
mathstudent55
  • mathstudent55
|dw:1439168515677:dw|

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mathstudent55
  • mathstudent55
It's better to leave it as a fraction like I did above.
anonymous
  • anonymous
wait nvm I looked at it wrong
mathstudent55
  • mathstudent55
Do you see what I did to solve for x? I used the first two fractions as a proportion, and solved the proportion for x. Are you ok so far?
anonymous
  • anonymous
yea I am ~
mathstudent55
  • mathstudent55
Great. Now take the second and third fractions, and use them as a proportion and solve for y.
mathstudent55
  • mathstudent55
Now cross multiply and solve the proportion below for y. |dw:1439168686577:dw|
anonymous
  • anonymous
2y = 15
anonymous
  • anonymous
right ??
mathstudent55
  • mathstudent55
good so far Now solve for y
mathstudent55
  • mathstudent55
Leave the result as a fraction.
anonymous
  • anonymous
\[15 \div 2 ?? \]
mathstudent55
  • mathstudent55
|dw:1439168922451:dw|
mathstudent55
  • mathstudent55
Yes, 15 divided by 2 is simply the fraction 15/2.
mathstudent55
  • mathstudent55
Now we want the ratio of x to y. The ratio of x to y can be written as x:y, and also as the fraction \(\dfrac{x}{y} \)
anonymous
  • anonymous
do we cross multiply them now ? the x y ?
mathstudent55
  • mathstudent55
Since we know what x and y are equal to, we write a ratio using those two numbers: |dw:1439169044897:dw|
mathstudent55
  • mathstudent55
|dw:1439169083196:dw|
anonymous
  • anonymous
thats none of my choices ~
mathstudent55
  • mathstudent55
We haven't finished yet. We now have a complex fraction, a fraction of fractions. We need to simplify it. Remember that a fraction means a division. |dw:1439169173036:dw|
mathstudent55
  • mathstudent55
To divide fractions, we multiply the first fraction by the reciprocal of the second one. Reciprocal is the math term that means to flip the fraction.
mathstudent55
  • mathstudent55
|dw:1439169248633:dw|
mathstudent55
  • mathstudent55
|dw:1439169310000:dw|
anonymous
  • anonymous
ohhh I see ! ~ :)
mathstudent55
  • mathstudent55
Great!
anonymous
  • anonymous
i understand now ! thanks !
mathstudent55
  • mathstudent55
You're welcome.

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