# This way of division does not give exact answers?

• Jul 1st 2012, 12:29 PM
Subliminalmessage
This way of division does not give exact answers?
327 divided by 7

7 does not go into 3, 7 goes into 32, 4 times with 4 remainder, put the 4 remainder ontop of the 7, it becomes 47, 7 goes into 47, 6 times with 5 remainder.

So why is the answer 46.7, why is it not 46.5?

Is this way of division wrong?
• Jul 1st 2012, 12:34 PM
a tutor
Re: This way of division does not give exact answers?
The answer is 46 and 5/7.

If you want a decimal write 327.000000 and carry one dividing. You will get 46.714285 714825 714825.....
• Jul 1st 2012, 06:49 PM
HallsofIvy
Re: This way of division does not give exact answers?
This is the same error you were making in your other post. The fact that the remainder is a given digit does NOT mean that digit is part of the quotient. As a tutor said, the fact that you get 46 with remainder 5 means that the quotient is 46 and 5/7. To get more digits append 0s and keep dividing.

In fact, the only fractions that give "terminating" decimals are those whose denominators have only factors of 2 and 5, such as 1/2, 1/5, 1/10, 1/4, 1/8, 1/25, etc.
• Jul 3rd 2012, 12:06 AM
Subliminalmessage
Re: This way of division does not give exact answers?
Thanks.