How do you do 1.5/2.5 of 15?

- anonymous

How do you do 1.5/2.5 of 15?

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- phi

"of" means multiply
\[ \frac{1.5}{2.5} \cdot 15 \]
to get rid of the decimals, you can multiply top and bottom by 10
\[ \frac{15}{25} \cdot 15 \]
can you finish?

- phi

I would first simplify the fraction by dividing top and bottom by 5
what do you get ?

- anonymous

like what is 1.5/2.5 of 15

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## More answers

- phi

re-read my post more carefully.

- phi

do you know how to simplify
15/25
by dividing the top number by 5 and the bottom number by 5?

- anonymous

you get 3/5

- phi

yes, that means the problem is
\[ \frac{3}{5} \cdot 15 \]
notice you can simplify more by dividing the bottom by 5 and the 15 (which is up top) by 5

- anonymous

45/75

- anonymous

The end answer is 9 but how do I get it?

- phi

when you multiply fractions you multiply top times top and bottom times bottom
if you have a whole number like 15, write it as 15/1 so it has a "bottom"
but it is better to first simply first.
you have
\[ \frac{ 3}{5} \cdot \frac{15}{1} \\ \frac{3 \cdot 15}{5\cdot 1}\]
I would not multiply 5*15 up top right away
instead, divide the bottom by 5 and the top by 5 to get smaller numbers

- anonymous

But im not multiplying

- anonymous

Im trying to find out what is 1.5/2.5 out of 15

- anonymous

and how to work it out

- anonymous

the end answer is 9

- anonymous

but how do I get it?

- phi

English is confusing when describing math (which is why equations are easier to understand .. once you learn how)
but you can get the idea this way:
what is 1/2 of 2 ?
notice the answer is 1. and 1/2 * 2 is also 1
It turns out the "of" means multiply

- anonymous

Oh ok

- phi

so try to simplify
\[ \frac{3 \cdot 15}{5\cdot 1} \]
by dividing top and bottom by 5

- anonymous

3/3

- anonymous

Cross multiply?

- phi

in the bottom you have a 5. divide by 5 you get 1
up top you have a 15 what is 15/5 ?

- phi

Once you learn the idea you will be able to do these problems

- anonymous

3

- phi

what we did was simplify
\[ \frac{3 \cdot 15}{5\cdot 1} = \frac{3 \cdot 3}{1\cdot 1} \]
now you can do the multiply and divide and get a simple number.

- anonymous

im so confused

- anonymous

How you get a one

- phi

you could have done
\[ \frac{3 \cdot 15}{5\cdot 1} = \frac{45}{5} \]
and simplify to get 9
but it's easier for me to divide the 5 into the 15 right away

- phi

if you have
\[ \frac{15}{5} \]
you can divide the top by 5 and the bottom by 5 to get
\[ \frac{3}{1} \]

- anonymous

Thats easier for me. Thank you

- phi

maybe. but notice if you had
\[ \frac{256}{32} \]
and no calculator.
It should be clear you can divide top and bottom by 2
so you could simplify the problem to
\[ \frac{128}{16} \]
and then divide top and bottom by 2 again
\[ \frac{64}{8} \]
and now you might notice 64/8 is 8

- phi

but if you did not notice 64/8 is 8
you could simplify by dividing top and bottom by 2 to get
32/4
and then
16/2
and then
8/1 or just 8

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