Question 122256
{{{28}}}{{{1/17}}}
-
        {{{4/9}}}

The first thing to do is to convert the fractions to equivalent fractions with a common demoninator.  Using the LCD or least common denominator we know that the smallest number that both 9 and 17 will go into is 153 so  we can convert each of the fractions as such

{{{1/17=9/153}}} and {{{4/9=68/153}}}

now we have {{{28}}}{{{9/153}}}-{{{68/153}}}

Now we see that 68 is greater than 9 so we must "borrow" from the whole number 28 in fractional form.  Similar to when borrowing in addition or subtraction of whole numbers.  If we borrow 1 from the 28 and convert it to a fractional equvalent fraction we get {{{153/153}}} and add that to {{{9/153}}} it would equal {{{162/153}}}

So we now arrive at {{{27}}}{{{162/153}}}-{{{68/153}}}

Now we can perform the subtraction

0 from 27 is 27 and 162-68 equals 94 so we are left with 

{{{27}}}{{{94/153}}}

Now we need to see if we can reduce the {{{94/153}}}

This fraction can not be reduced because there is  no common multiple that 94 and 153 share so our final answer is {{{27}}}{{{94/153}}}

Thanks!
Ms. G