ADD 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 add the 2 numbers in the numerator of our new fraction and we get the following: 5 6 Conclusion: We started out with two fractions and now have a new fraction. 1 + 1 =5 23 6
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