SOLUTION: 8 3/4 divided by 1 1/7= please explain

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Question 665704: 8 3/4 divided by 1 1/7= please explain
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Starting with
8%283%2F4%29%2F1%281%2F7%29
...
First, convert the mixed fractions to improper fractions.
**Multiply denominator by whole number, then add the numerator. This is the new numerator over the previous denominator.
...
8%283%2F4%29 = 4*8 = 32 + 3 = 35%2F4
1%281%2F7%29 = 7*1 = 7 + 1 = 8%2F7
...
Division is the same as multiplying the inverse, so...
%2835%2F4%29%2F%288%2F7%29+=+%2835%2F4%29%287%2F8%29
...
Multiply the numerators 35*7 = 245
Multiply the denominators 4*8 = 32
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Converting back to a mixed fraction: How many times will 32 go into 245 evenly? This is the whole number. How many are left over? This is the numerator, which goes over the same denominator from the improper fraction.
highlight%28%28245%2F32%29+=+7%2821%2F32%29%29
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