What method do you prefer to use when adding or subtracting fractions and mixed numbers? For example, do you find common denominators first, convert fractions into decimals and then back into fractions, or simplify fractions first and then add or subtract them?

Question

Explain why you prefer to use this method.

Give at least one example of using this method.

As you learn new strategies throughout the unit, you may change which method you prefer to use. If that happens, explain why you changed your preferred method.

Be sure to comment on at least two classmates’ comments as well.

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Answer 1

The method used for hundreds of years

1. get rid of those useless mixed numbers and simply fractions if possible
2. find a common denominator
3. change your fractions to ones having that new denominator
4. Do your additions/subtractions.
5. Simplify your fractions to lowest terms

all done!

e.g. 4 1/3 + 3/7 - 6/4
= 13/3 + 3/7 - 3/2 , your LCD is 42
= 182/42 + 18/42 - 63/42
= 137/42

changing it to decimals and then doing the calculation, and finally going
back to fractions is not a good idea.
In my example, 3/7 would not have given you an exact decimal,
and right away you have lost accuracy.
I would only consider doing that if the fractions are easily converted to
decimals, e.g. 2/5, 1/4 etc

Answer 2

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Answer 3

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