SUBTRACT FRACTIONS Question 2

A fraction is written as:
numerator
denominator


1  -  1  =
2     3
Step 1: Since each fraction does not have the same denominator, we must find a common denominator- a number that can be divided by each denominator (2 and 3) evenly with no remainder. Since 2 does not divide into 3 evenly and 3 does not divide into 2 evenly, the easiest way to find a common denominator is to multiply the 2 denominators(2 and 3):
2 x 3 = 6
6 is the common denominator.
Step 2: We now use the common denominator 6 to create 2 fractions with the same denominator 6. We multiply the numerator and denominator of each fraction by the number needed to get the denominator equal to 6; in order to maintain the integrity of the original fraction, we have to perform the same operation on the numerator as we perform on the denominator.
1 x 3  -  1 x 2  =
2 x 3      3 x 2
This becomes:
3  -  2  =
6     6
Since each fraction has the same denominator 6, we can write the following:
3 - 2
   6
Step 3: Now, we can subtract the 2 numbers in the numerator of our new fraction and we get the following:
1
6
Conclusion: We started out with two fractions and now have a new fraction.
1  -  1  =   1
2     3       6

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