# hard division

• Sep 18th 2009, 07:07 AM
andyboy179
hard division
hi this is my question:

3 divided 1 $\displaystyle \frac{1}{5}$
if you can help please post, thanks
• Sep 18th 2009, 07:31 AM
Quote:

Originally Posted by andyboy179
hi this is my question:

3 divided 1 $\displaystyle \frac{1}{5}$
if you can help please post, thanks

hi

first ly , write $\displaystyle 1\frac{1}{5}$ as an improper fraction ie $\displaystyle \frac{6}{5}$

Then $\displaystyle \frac{3}{\frac{6}{5}}=3\times \frac{5}{6}$ .. do you see why ?

Because when you divide a fraction , it means multiplying its reciprocal .

Can you continue from where i stopped ?
• Sep 18th 2009, 07:36 AM
andyboy179
Quote:

hi

first ly , write $\displaystyle 1\frac{1}{5}$ as an improper fraction ie $\displaystyle \frac{6}{5}$

Then $\displaystyle \frac{3}{\frac{6}{5}}=3\times \frac{5}{6}$ .. do you see why ?

Because when you divide a fraction , it means multiplying its reciprocal .

Can you continue from where i stopped ?

thanks for answering, i understand the first bit, would it then be $\displaystyle \frac{3}{6}$ X $\displaystyle \frac{5}{6}$ ?
• Sep 18th 2009, 07:42 AM
Quote:

Originally Posted by andyboy179
thanks for answering, i understand the first bit, would it then be $\displaystyle \frac{3}{6}$ X $\displaystyle \frac{5}{6}$ ?

nope , its $\displaystyle 3\times \frac{5}{6}$ because

$\displaystyle \frac{3}{\frac{5}{6}}=\frac{\frac{3}{1}}{ \frac{6}{5} }$

$\displaystyle =\frac{3}{1}\times \frac{5}{6}$
• Sep 18th 2009, 07:46 AM
andyboy179
i understandnow, so for the answer would i do

$\displaystyle \frac{3}{1}$ X $\displaystyle \frac{5}{6}$ = $\displaystyle \frac{15}{6}$ , then i can simplify it?
• Sep 18th 2009, 07:55 AM
Quote:

Originally Posted by andyboy179
i understandnow, so for the answer would i do

$\displaystyle \frac{3}{1}$ X $\displaystyle \frac{5}{6}$ = $\displaystyle \frac{15}{6}$ , then i can simplify it?

yes . And now you can continue to simplify it .
• Sep 18th 2009, 08:01 AM
andyboy179
Quote:

yes . And now you can continue to simplify it .

so over all the answer would be, $\displaystyle \frac{5}{2}$
• Sep 18th 2009, 08:09 AM
so over all the answer would be, $\displaystyle \frac{5}{2}$