SOLUTION: Please help me to solve this fraction. Divide {{{15}}}{{{15/16}}} ÷ {{{3}}}{{{3/4}}}

Algebra.Com
Question 89410: Please help me to solve this fraction.
Divide
÷

Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
Please help me to solve this fraction. 
Divide 

 ÷ 

Change these mixed fractions to improper fractions
by this rule:

---------------------------------------------------

To change the mixed number 



to an improper fraction, where W = whole part, 
N = numerator, D = denominator

IMPROPER FRACTION = 

----------------------------------------------------                        

Following the above rule with 

 = 15,  = ,  = 

IMPROPER FRACTION =  =  = 

-----------------------

Following the rule with 

 = 3,  = ,  = 

IMPROPER FRACTION =  =  = 

------------------------

So the original problem

 ÷ 

is now

÷

Now we use the principle of inverting the second fraction
and changing the ÷ to ×

 255      4
----- × ----
  16     15

Cancel the 15 into the 255 and get 17 in the top

  17       
 255      4
----- × ----
  16     15
          1

Cancel the 4 into the 16 and get 4 in the bottom

  17      1           
 255      4
----- × ----
  16     15
   4      1

So you end up eith the improper fraction



Now since the original problem was given
as mixed fractions, we change this to
an improper fraction, by using this rule:

-------------------------------------------

To change the improper fraction  to
a mixed fraction,
 
perform the division
 __ 
D)N

then the mixed fraction will be:

 = 

where  = the numerator,  = the denominator, 
 = the quotient,  = the remainder 

--------------------------------------------
                            __
So we perform the division D)N 

 ` 4
4)17
  16
   1  

Here, N = 17, D = 4, Q = 4, R = 1 so 

 =  becomes

 = 

Edwin

RELATED QUESTIONS

Please help me solve this question. Find the value of... (answered by robertb)
could someone please help me divide... (answered by jim_thompson5910)
Please help me to solve this... (answered by It is costly)
9/10(3+8x)+3 greater than or equal to 15 [[9/10 is a fraction by the way) Can you help (answered by lwsshak3)
please help me solve this fraction: 15 7/8 - 3/9. my solution: 15 7/8 (9/9) - 3/9... (answered by MathLover1,unlockmath)
Please help me solve this equation... (answered by Alan3354)
Can you please help me with this fraction problem? 15/16b = 5/12 The "b" is next to (answered by AmparoV,richwmiller)
Can you please help me with this fraction problem? 15 5 -----b = --- 16 (answered by KMST)