Question 52260
<pre><font size = 5><b>Can someone please help me with 
this problem? I need to divide 
and round the quotient to 
the nearest thousandth: 
6 1/7 divided by 3/14 
Thanks,
Sher

6 1/7 ÷ 3/14

   1      3
6 --- ÷ ----
   7     14

Change the mixed number
to an improper fraction:

  43      3
 ---- ÷ ----
   7     14

Invert the second fraction
and change division to
multiplication:
    
  43     14
 ---- × ----
   7      3

Cancel the 7 into the 14:
      
          2
  43     <s>14</s>
 ---- × ----
   <s>7</s>      3
   1

Multiply numerators
and denominators:

   86
  ----
    3

Divide numerator by denominator and
carry to one more place than thousandths.

  <u>28.6666</u>
3)86.0000
  <u>6</u>
  26
  <u>24</u>
   2 0
   <u>1 8</u>
     20
     <u>18</u>
      20
      <u>18</u>
       20
       <u>18</u>
        2 

28.6666 rounds off to 28.667
because the first digit
eliminated was a 6 and when
the first digit eliminated
is 5 or more, then the last
digit retained is increased by 1.

Answer: 28.667

Edwin</pre>