What is 1 1/2 x3

- anonymous

What is 1 1/2 x3

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- anonymous

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

- anonymous

yes

- anonymous

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

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## More answers

- anonymous

a little

- UsukiDoll

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

- anonymous

I got 3/2

- anonymous

good

- UsukiDoll

correct.

- anonymous

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

- anonymous

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

- 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

- anonymous

oh no!!!

- anonymous

i got 6

- UsukiDoll

what?

- anonymous

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

- anonymous

I also got 18

- anonymous

lets go slow

- UsukiDoll

nugh. this guy -_-

- UsukiDoll

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

- anonymous

no no just multiply

- anonymous

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

- anonymous

6

- anonymous

there is no 6 in it

- anonymous

i multiplied and got 6

- anonymous

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

- anonymous

then I multiplied and got 18

- UsukiDoll

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

- anonymous

okay

- anonymous

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

- anonymous

9

- anonymous

right

- UsukiDoll

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

- anonymous

and in the denominator you have just the 2

- anonymous

okay

- anonymous

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

- anonymous

4 1/2

- 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

- anonymous

right

- UsukiDoll

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

- anonymous

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

- anonymous

@UsukiDoll you must be kidding me right?

- anonymous

okay

- UsukiDoll

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

- anonymous

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

- UsukiDoll

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

- 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

- 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.

- 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

- anonymous

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

- UsukiDoll

ahahaha you just did fractions XD

- anonymous

yes of course

- anonymous

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

- UsukiDoll

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

- anonymous

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

- anonymous

okay

- UsukiDoll

exactly sat .. still using fractions XD

- anonymous

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

- UsukiDoll

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

- anonymous

at least you are being consistent!

- anonymous

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

- anonymous

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

- Loser66

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

- UsukiDoll

so agree with @Aliypop

- misty1212

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

- anonymous

so the answer is 52/17

- misty1212

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

- misty1212

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

- anonymous

don't mess with mister inbetween?

- anonymous

so would I multiply

- 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!

- 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.

- anonymous

thank for so much for helping me @UsukiDoll

- UsukiDoll

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

- anonymous

okay

- UsukiDoll

night everyone.

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