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algebra 1/10+1/5+5/9=

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2 Answers

First you must find the GCF (greatest common factor). In this case it is 90. This becomes your new denominator for all three fractions. You multiply each numerator by the number of times that the denominator divides into 90 ( 90 divided by 10 = 9...9 x 1 = 9...new fraction is 9/90)  Follow this formula with each of the three fractions and then add numerators. The new fractions become : 9/90 + 18/90 +50/90 = 77/90. This is already reduced so this is your final answer
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
 

Comments

I believe that the new numerator should be 77.  9 + 18 + 50 = 77....

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