Express the following repeating decimals as fractions. (1) 13.513513... (2) 52.31272727...
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Originally Posted by sologuitar Express the following repeating decimals as fractions. (1) 13.513513... (2) 52.31272727... 1) S = 13.513513 ... (A) 1000S = 13513.513 ... (B) (B) - (A): ...... Now solve for S. 2) S = 52.31272727 .... (A) 100S = 5231.272727 .... (B) 10000S = 523127.2727 .... (C) (C) - (B): .... Now solve for S.
Originally Posted by sologuitar Express the following repeating decimals as fractions. (1) 13.513513... (2) 52.31272727... Note that $\displaystyle 13.513513...=13+\frac{513}{1,000}+\frac{513}{1,000 ,000}+...$ the second problem is similar..
Last edited by VonNemo19; Dec 3rd 2009 at 04:38 PM.
Originally Posted by mr fantastic 1) S = 13.513513 ... (A) 1000S = 13513.513 ... (B) (B) - (A): ...... Now solve for S. 2) S = 52.31272727 .... (A) 100S = 5231.272727 .... (B) 10000S = 523127.2727 .... (C) (C) - (B): .... Now solve for S. I can do it now. However, where did S come from? What about this type of question indicated that subtraction was needed to find the answer?
Originally Posted by VonNemo19 Note that $\displaystyle 13.513513...=13+\frac{513}{1,000}+\frac{513}{1,000 ,000}+...$ the second problem is similar.. Thanks for your reply but where are you going with the fractions?
Originally Posted by sologuitar I can do it now. However, where did S come from? What about this type of question indicated that subtraction was needed to find the answer? S is the symbol I used to represent the unknown fraction. 1) (B) - (A): 999S = 13500 => S = 13500/999 = 500/37.
Originally Posted by mr fantastic S is the symbol I used to represent the unknown fraction. 1) (B) - (A): 999S = 13500 => S = 13500/999 = 500/37. Thanks. I can use any variable other than S, right?
Originally Posted by sologuitar Thanks. I can any variable other than S, right? Yes. Use x if you like ....
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