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Mathematics 16 Online
OpenStudy (animelover91804):

WILL FAN AND MEDAL!! HELP!!! (i always fan and medal btw) Susan is creating a solution. A formula for the solution calls for 7/10 mL of water. Susan wants to make 2/7 less of the solution than the formula creates. How much water should Susan use? Express your answer as a fraction in simplest form.

OpenStudy (caozeyuan):

So actually there is 7/10*5/7=1/2ml

OpenStudy (caozeyuan):

oh, so that is the answer, I thought 1/2 is total solution then you have the concentration to figure out the water part

OpenStudy (animelover91804):

i hate this website now.. NO ONE HELPS UNLESS THEY ARE GONNA GET FANNED AND A MEDAL! this is why i lock myself in my room alone watching anime and listening to K-pop!

OpenStudy (fortytherapper):

Fraction conversions. First find the least common denominator

OpenStudy (fortytherapper):

Also, I don't give a flying flutter about a medal

OpenStudy (fortytherapper):

^ Oh that's lame. You can't say the F word.... flutter?

OpenStudy (animelover91804):

Finally! Someone that doesn't want a medal!

OpenStudy (caozeyuan):

Yah, it sucks, I tried once and it turned flutter too

OpenStudy (animelover91804):

BRUH!! WHY CAN'T WE SAY THE F WORD?!!

OpenStudy (fortytherapper):

Anyways, To find out the least common denominator, write out the multiples of 10 (So 10, 20, 30, 40, etc), then do the same for 7

OpenStudy (animelover91804):

I couldn't get any common factors bc they don't have any. well.. 10 does, but 7 would just be 1 and its self

OpenStudy (fortytherapper):

Every number has multiples. You would just take the number and multiply it by 1, then 2, then 3, etc Like for 10 10 x 1 = 10 10 x 2 = 20 10 x 3 = 30 and so on 10, 20, 30, etc are possible least common denominators

OpenStudy (animelover91804):

Oh, ok

OpenStudy (fortytherapper):

A quicker way to find one is to multiply the denominators In this case, we have 7 and 10, so what can one possible least common denominator be?

OpenStudy (animelover91804):

it would be... um... g-ah! idk

OpenStudy (fortytherapper):

Since we have 7/10 and 2/7 and we want to multiply denominators: We have 10 as one denominator (Bottom part of a fraction) and the other would be 7, right? So multiplying 7 and 10 would make 70. 70 would be a common denominator. As long as it's a common denominator, it will work

OpenStudy (animelover91804):

Oh!!!! okay!!

OpenStudy (fortytherapper):

Alright awesome! So now we have to convert. The rule is, whatever we do to the bottom, we also have to do to the top Let's take it one step at a time and start with 7/10 What number did we multiply with 10 to get the number 70, out common denominator?

OpenStudy (animelover91804):

10 X 7 = 70

OpenStudy (fortytherapper):

Right, we used 7. So to follow the rule, since we multiplied by 7 on the bottom, we also must multiply the top number by 7 The top number in 7/10 is 7. So we do 7 * 7 to get 49, creating 49/70 as one converted fraction! Now for the second one, we do the same thing. What number did we multiply with 7 to get 70?

OpenStudy (animelover91804):

10

OpenStudy (fortytherapper):

Right, so what would our new converted fraction be, seeing that the top number of 2/7 is 2?

OpenStudy (animelover91804):

it would be... um... ugh! idk! i'm horrible with math

OpenStudy (fortytherapper):

Since you saw that we multiplied 10 with the 7 to get 70, you would also multiply the 10 with 2 to get our top number

OpenStudy (animelover91804):

Oh! ok so that would be 20

OpenStudy (fortytherapper):

Exactly, giving us 20/70 Now we have 49/70, which we found earlier, and 20/70 which we just found. Now, since you want to create 2/7 (Which is 20/70) LESS, would you add, subtract, multiply, or divide?

OpenStudy (animelover91804):

divide? idk

OpenStudy (fortytherapper):

Let's use a variable example. Let's say I have 10 cookies. I decided to be fat and eat 9, so I have 9 LESS. How would I found out how many I need? 10 ____ 9 = 1

OpenStudy (fortytherapper):

+ - * or /

OpenStudy (animelover91804):

-

OpenStudy (fortytherapper):

Right! Which is subtraction So now to find the answer to this, we subtract 49/70 - 20/70 When subtracting fractions, you only do it to the numerator. The denominator remains as it is. Think you can figure what this would be 49 29 < -- Numerator = ? -- - -- ---------- -- 70 70 < -- Denominator = ?

OpenStudy (fortytherapper):

I mean 20 -- 70 , not 29

OpenStudy (animelover91804):

I figured it out! thanks so much!!

OpenStudy (fortytherapper):

Anytime! I don't know why the first guy said 1/2 when it's not the answer lol. Take care

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