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# calculate a+b if a/b = 0.271717171.....

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calculate a+b if a/b = 0.271717171.....

Guest May 5, 2015

#3
+94086
+10

thanks Everymornin17,

but       27/100 = 0.27    you do however have the right idea with the n

Thanks Chris,

but   $$\frac{43n}{198n}$$   where n is any real non zero number would also work

a=43n and b=198n

a+b=(43+198)n = 241n       $$n\ne0$$

if a and b do not have to be integers then this can equal any real number except for 0

that is what I think anyway.

Melody  May 6, 2015
#1
+174
+5

Check This out

Everymornin17  May 5, 2015
#2
+92368
+5

Write this without the decimal, first = 217

Subtract the non-repeating part from this  =  217 - 2 = 215

Write this over a denominator that has the same number of 9s a the repeating digits  = 99 and the same number of 0s as the non-repeating digits  = 0

So we have

215 / 990  =  43 / 198  {check for yourself that this is equal to the given decimal }

So   .... a = 43 and b = 198     and a + b = 241

CPhill  May 5, 2015
#3
+94086
+10

thanks Everymornin17,

but       27/100 = 0.27    you do however have the right idea with the n

Thanks Chris,

but   $$\frac{43n}{198n}$$   where n is any real non zero number would also work

a=43n and b=198n

a+b=(43+198)n = 241n       $$n\ne0$$

if a and b do not have to be integers then this can equal any real number except for 0

that is what I think anyway.

Melody  May 6, 2015
#4
+92368
+5

Yeah, Melody.....I wasn't thinking in terms of a general solution to this......but your way WOULD cover all possibilities.......!!!

CPhill  May 6, 2015