SOLUTION: Write 7.2888 as an infinite indicated sum and then in the form x/y, where x and y are integers

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Question 855421: Write 7.2888 as an infinite indicated sum and then in the form x/y, where x and y are integers
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Start by splitting into 7.2+8/100+8/1000+8/10000+8/100000+....
=7.2+8(1/100+1/1000+1/10000+...)
7.2+(4/5)(1/10+1/100+1/1000+1/10000+...)
7&1/5+(4/5)(1/10+1/100+1/1000+1/10000+...)
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The rest of this is left for you to continue.