Does the entire 476 repeat?
For example .476476476...
I need some help with this question. I am getting a different answer (the actual answer should be 259).
Question:
When the repeating decimal 0.476 is converted to a rational in simplest form a/b the value of b-a is? Show your work.
4 answers
If so then in fraction form it is (476)/999 which does not reduce.
So B = 999 and A=476
B-A = ...
So B = 999 and A=476
B-A = ...
But the answer is 259. How do you get that?
You did not answer Ms Pi when she asked which digits repeat
She took it that all the digits repeat, and got the correct answer of 476/999
and the difference in the digits was not 259
So, again, which digits repeat ?
.476476476... , does not meet your condition
if .476666.... = (476-47)/900 = 143/300 , difference in digits ≠ 259
if
.4767676... = (476-4)/990 = 236/495 , difference in digits = 259
ahhh!, but next time ask the question correctly
She took it that all the digits repeat, and got the correct answer of 476/999
and the difference in the digits was not 259
So, again, which digits repeat ?
.476476476... , does not meet your condition
if .476666.... = (476-47)/900 = 143/300 , difference in digits ≠ 259
if
.4767676... = (476-4)/990 = 236/495 , difference in digits = 259
ahhh!, but next time ask the question correctly
1 answer