How do you do 1.5/2.5 of 15?

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How do you do 1.5/2.5 of 15?

Mathematics
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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 ?
like what is 1.5/2.5 of 15

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Other 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?
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
45/75
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
But im not multiplying
Im trying to find out what is 1.5/2.5 out of 15
and how to work it out
the end answer is 9
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
Oh ok
  • phi
so try to simplify \[ \frac{3 \cdot 15}{5\cdot 1} \] by dividing top and bottom by 5
3/3
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
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.
im so confused
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 \[ \frac{3}{1} \]
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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