SOLUTION: write 3 28 in simplest form. 49

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Question 117782: write 3 28 in simplest form.
49
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3%2628%2F49 Start with the given mixed fraction.


3%2B28%2F49 Expand. Remember 3%2628%2F49 is the same as 3%2B28%2F49.


147%2F49%2B28%2F49 Multiply the whole number 3 by the denominator 49 to get 147. Now replace the whole number 3 with 147%2F49 (notice how 3=147%2F49).


%28147%2B28%29%2F49 Now combine the fractions by combining the numerators.


175%2F49 Now combine the fractions by combining the numerators.

So the mixed fraction 3%2628%2F49 is the improper fraction 175%2F49.


%287%2A25%29%2F%287%2A7%29 Factor both the numerator and denominator


%28cross%287%29%2A25%29%2F%28cross%287%29%2A7%29 Factor both the numerator and denominator


25%2F7 Simplify


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Answer:
So 3%2628%2F49 converts and simplifies to 25%2F7