1/10+1/5+5/9

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Peter G. | I measure my success by yours.I measure my success by yours.

Find some smaller fraction into which 10ths and 5ths and 9ths can be divided. 90 works, so we are going to change all the fractions from 10ths and 5thws and 9ths to 90ths.

For the 10ths we get 9 for each one (90/10), so our 1 10th becomes 9 90ths.

For the 5ths we get 18 for each one (90/5), so our 1 5th becomes 18 90ths.

For the 9ths we get 10 for each one (90/9) so our 5 9ths become 5 * 10 or 50 90ths.

Now we can add up the 90ths, 9 + 18 + 50 = 75 and we have 75/90. Now simplify, since both the top and bottom divide by 5, and we get 15/18, OK but 3 goes into both of those, so we can simplify it again, to 5/6

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