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Mathematics 15 Online
OpenStudy (anonymous):

What is 1 1/2 x3

OpenStudy (anonymous):

it is \[\huge 1\tfrac{1}{2}\times 3\]

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

do you know how to write \[\huge 1\tfrac{1}{2}\] as an "improper fraction"? that is the first step

OpenStudy (anonymous):

a little

OpenStudy (usukidoll):

so first we have do deal with the 1 x 2 portion so what's 1 x 2 ?

OpenStudy (anonymous):

I got 3/2

OpenStudy (anonymous):

good

OpenStudy (usukidoll):

correct.

OpenStudy (anonymous):

then \[\frac{3}{2}\times 3\] completes it

OpenStudy (anonymous):

remember "multiply" means multiply in the numerator (top) so \[\frac{3}{2}\times 3=\frac{3\times 3}{2}\]

OpenStudy (usukidoll):

\[\LARGE \frac{3}{2} \times 3 \] now all we have to do is to multiply \[\LARGE \frac{2}{2}\] to 3 so we can have fractions with the same numerator x.x

OpenStudy (anonymous):

oh no!!!

OpenStudy (anonymous):

i got 6

OpenStudy (usukidoll):

what?

OpenStudy (anonymous):

@UsukiDoll c'mon! you know you do not need a common denominator to multiply fractions !!!

OpenStudy (anonymous):

I also got 18

OpenStudy (anonymous):

lets go slow

OpenStudy (usukidoll):

nugh. this guy -_-

OpenStudy (usukidoll):

sigh.. let me guess change 3/2 into a decimal and then multiply by 3 ?

OpenStudy (anonymous):

no no just multiply

OpenStudy (anonymous):

we are at this step \[\frac{3}{2}\times 3\] right?

OpenStudy (anonymous):

6

OpenStudy (anonymous):

there is no 6 in it

OpenStudy (anonymous):

i multiplied and got 6

OpenStudy (anonymous):

\[\frac{3}{2}\times 3=\frac{3\times 3}{2}\] where does the 6 come from?

OpenStudy (anonymous):

then I multiplied and got 18

OpenStudy (usukidoll):

wait a sec. re-write this a bit. to what sat wrote

OpenStudy (anonymous):

okay

OpenStudy (anonymous):

in the numerator (top) you have \(3\times 3\) which is ?

OpenStudy (anonymous):

9

OpenStudy (anonymous):

right

OpenStudy (usukidoll):

so the numerator is 9 and the denominator is 2 which is 9/2

OpenStudy (anonymous):

and in the denominator you have just the 2

OpenStudy (anonymous):

okay

OpenStudy (anonymous):

giving you \[\frac{9}{2}\] which you should probably then write as a mixed number since you started with mixed numbers

OpenStudy (anonymous):

4 1/2

OpenStudy (anonymous):

at the risk of repeating myself you do NOT find a common denominator when multiplying that is for addition or subtraction multiply means multiply, that is all

OpenStudy (anonymous):

right

OpenStudy (usukidoll):

wow are you kidding me right now sat? \[\large \frac{3}{2} \times 3 \cdot \frac{2}{2}\] \[\large \frac{3 \times 6}{4} \rightarrow \frac{18}{4} \rightarrow \frac{9}{2}\]

OpenStudy (anonymous):

that is \[\huge 4\tfrac{1}{2}\] is correct

OpenStudy (anonymous):

@UsukiDoll you must be kidding me right?

OpenStudy (anonymous):

okay

OpenStudy (usukidoll):

no. even with finding the common denominator we can still get the same result -_-

OpenStudy (anonymous):

\[\frac{3}{2}\times 3\times\frac{100}{100}=\frac{3\times 300}{200}=4\tfrac{1}{2}\]

OpenStudy (usukidoll):

heck if I was given that option to do it that way, pfffffffft so be it XD

OpenStudy (anonymous):

you are doing nothing but confusing the issue you can get an equivalent fraction for 3 by multiplying top and bottom by any number you choose, but you do not do that when multiplying

OpenStudy (usukidoll):

no I'm not. I'm making it easier by having common denominators all over the place, so I can simplify the numerator... combine the denominator and then reduce.

OpenStudy (anonymous):

let me repeat myself you do NOT find a common denominator when multiplying you need that only for addition and subtraction multiply means multiply

OpenStudy (anonymous):

\[\frac{a}{b}\times \frac{c}{d}=\frac{ac}{bd}\] that is all

OpenStudy (usukidoll):

ahahaha you just did fractions XD

OpenStudy (anonymous):

yes of course

OpenStudy (anonymous):

\[\frac{a}{b}\times c=\frac{ac}{b}\] also fractions

OpenStudy (usukidoll):

\[\frac{a}{b}\times \frac{c}{d}=\frac{ac}{bd} \] this is better.

OpenStudy (anonymous):

they are the same, only in the second case \[\frac{a}{b}\times c\] you have \(d=1\) no common denominator needed

OpenStudy (anonymous):

okay

OpenStudy (usukidoll):

exactly sat .. still using fractions XD

OpenStudy (anonymous):

let me ask you @UsukiDoll do you really build up fractions when multiplying? how would you compute \[\frac{52}{17}\times 5\]?

OpenStudy (usukidoll):

\[\frac{52}{17}\times 5 \cdot \frac{17}{17}\] \[\frac{52}{17} \times \frac{85}{17} \rightarrow \frac{4420}{289} \]

OpenStudy (anonymous):

at least you are being consistent!

OpenStudy (anonymous):

some times people have different methods that still give you the same answer

OpenStudy (anonymous):

why not \[\frac{52}{17}\times 5 \cdot \frac{23}{23}\]? that will work as well

OpenStudy (loser66):

@UsukiDoll is it right?\(3=\dfrac{3}{1}\)? why do we have the common denominator on multiplication ?

OpenStudy (usukidoll):

so agree with @Aliypop

OpenStudy (misty1212):

i like \[\frac{52}{17}\times 5 \cdot \frac{1712}{1712}\]

OpenStudy (anonymous):

so the answer is 52/17

OpenStudy (misty1212):

\[\frac{52}{17}\times 5=\frac{52\times 5}{17}\]

OpenStudy (misty1212):

so your real job is to compute \(52\times 5\) don't mess with mr 17

OpenStudy (anonymous):

don't mess with mister inbetween?

OpenStudy (anonymous):

so would I multiply

OpenStudy (usukidoll):

that's just some example fraction that they threw at me. the real answer is already done. Honestly that's what I was taught in elementary school and it worked well. NO one is going to force me to use whatever kind of jumbo shrimp thing they throw out there. If it worked millions of times, I'm not going to change it!

OpenStudy (usukidoll):

P.S \[ \frac{4420}{289} = 15.29\] \[\frac{52}{17}\times 5 = 3.058 \times 5 = 15.29\] oh look ! The same decimal value regardless of method. nughhhhhh. . . sorry for ranting but that had gone too far.

OpenStudy (anonymous):

thank for so much for helping me @UsukiDoll

OpenStudy (usukidoll):

you're welcome @Aliypop :) It's after 4 am... I better get some sleep.

OpenStudy (anonymous):

okay

OpenStudy (usukidoll):

night everyone.

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