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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
and
now we have -
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 and add that to it would equal
So we now arrive at -
Now we can perform the subtraction
0 from 27 is 27 and 162-68 equals 94 so we are left with
Now we need to see if we can reduce the
This fraction can not be reduced because there is no common multiple that 94 and 153 share so our final answer is
Thanks!
Ms. G
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