SUBTRACT FRACTIONS Question 2

A fraction is written as:
numerator
denominator


1 - 1 =
23
Step 1: Since each fraction does not have the same denominator, we must find a commondenominator- a number that can be divided by each denominator (2 and 3) evenly with no remainder. Since 2 does notdivide into 3 evenly and 3 does not divide into 2 evenly, the easiest way tofind 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 weperform on the denominator.
1 x 3 - 1 x 2 =
2 x 33 x 2
This becomes:
3 - 2 =
66
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
23 6

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