SOLUTION: -2 1/4 dived by 1 1/3

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Question 118285: -2 1/4 dived by 1 1/3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First let's convert -2%261%2F4 into a improper fraction


-2%261%2F4 Start with the given mixed number

Let's focus on the positive portion:

4%2A2=8 Multiply the denominator 4 by the whole number 2 to get 8

8%2B1=9. Add 8 to the numerator 1 to get 9. This final result is the new numerator

9%2F4 Place the new numerator over the same denominator

-9%2F4 Now reintroduce the negative

So the mixed number -2%261%2F4 is equivalent to the improper fraction -9%2F4




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Now let's convert 1%261%2F3 into a improper fraction




1%261%2F3 Start with the given mixed number

3%2A1=3 Multiply the denominator 3 by the whole number 1 to get 3

3%2B1=4. Add 3 to the numerator 1 to get 4. This final result is the new numerator

4%2F3 Place the new numerator over the same denominator

So the mixed number 1%261%2F3 is equivalent to the improper fraction 4%2F3


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So %28-2%261%2F4%29%2F%281%261%2F3%29 becomes %28-9%2F4%29%2F%284%2F3%29


%28-9%2F4%29%2A%28%283%29%2F%284%29%29 Now multiply the first fraction by the reciprocal of the second fraction




%28-9%2A3%29%2F%284%2A4%29 Combine the two fractions



%28-27%29%2F%2816%29 Multiply


So %28-2%261%2F4%29%2F%281%261%2F3%29=%28-27%29%2F%2816%29